Manipulating Equations

The Wolfram Language's symbolic architecture allows it to represent any equation as a symbolic expression that can be manipulated using any of the Wolfram Language's powerful collection of symbolic operations.

Reduce general algebraic reduction of equations, inequalities, etc.

Simplify simplify each side of an equation

Series series expand each side of an equation

N evaluate each side of an equation numerically

AddSides add to both sides of an equation or inequality

SubtractSides  ▪  MultiplySides  ▪  DivideSides  ▪  ApplySides

LogicalExpand expand out logical combinations of equations

Thread convert {a,b}=={u,v} to {a==u,b==v}

CoefficientArrays convert equations to matrices

ReplaceAll (/.) substitute equation solutions into any expression