informal shorthand for the left-hand side of an equation. Similarly, RHS is the right-hand side. The two sides have the same value, expressed differently...

side from both sides. The most common type of equation is a polynomial equation (commonly called also an algebraic equation) in which the two sides are...

In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle...

chemical equation (see an example below) consists of a list of reactants (the starting substances) on the left-hand side, an arrow symbol, and a list of products...

theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter...

3\cdot 2^{x-1}+1=10} then, by subtracting 1 from both sides of the equation, and then dividing both sides by 3 we obtain 2 x − 1 = 3 {\displaystyle 2^{x-1}=3}...

general quadratic equation of the form a x 2 + b x + c = 0 {\displaystyle \textstyle ax^{2}+bx+c=0} , with x {\displaystyle x} representing an unknown, and...

the equation becomes an equality. A solution of an equation is often called a root of the equation, particularly but not only for polynomial equations. The...

allows one to rewrite an equation so that each of two variables occurs on a different side of the equation. A differential equation for the unknown f (...

transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation. Algebra did...

units on the right hand side of the equation. Having the same units on both sides of an equation does not ensure that the equation is correct, but having...

The Navier–Stokes equations (/nævˈjeɪ stoʊks/ nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances...

In algebra, a cubic equation in one variable is an equation of the form a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} in which a is...

algebra is that one can multiply both sides of an equation by the same expression without changing the equation's solutions. However, strictly speaking...

equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas of applied...

transcendental equation is an equation over the real (or complex) numbers that is not algebraic, that is, if at least one of its sides describes a transcendental...

subtracted terms to the other side of an equation, i.e. the cancellation of like terms on opposite sides of the equation. Mathematics historian Victor J. Katz...

In mathematics, a linear equation is an equation that may be put in the form a 1 x 1 + … + a n x n + b = 0 , {\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0...

differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the...

heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions. The theory of the heat...

Geometricorum. 1 (2001): 17–24. The sides and area of any triangle satisfy the Diophantine equation obtained by squaring both sides of Heron's formula; see Heron's...

solution is described by a sequence of equations whose left-hand sides are the names of the unknowns and right-hand sides are the corresponding values, for...

difference between two values of a constant function vanishes, the same definite integral appears on both sides of the equation. Many functions do not have...

of an equation, that is, the cancellation of like terms on opposite sides of the equation), he has been described as the father or founder of algebra...

right side of the equation to balance both sides. The goal of these steps is usually to isolate the variable one is interested in on one side, a process...

mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is a x 4 + b x 3 +...

rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket:...

since it compensates to maintain a fixed level of utility. There are two parts of the Slutsky equation, namely the substitution effect, and income effect...

both sides of the equation are equal to the same constant value. This argument is key in the technique of solving linear partial differential equations by...

larger than an hour is meaningless. Any physically meaningful equation, or inequality, must have the same dimensions on its left and right sides, a property...