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Multiplication Property of Equality

Rule

Multiplication Property of Equality

Given an equation, multiplying each side of the equation by the same number yields an equivalent equation.

If then

The Multiplication Property of Equality also holds true if and are complex numbers. This property is one of the Properties of Equality that can be used when solving equations. To isolate the variable, the division by can be eliminated by multiplying both sides of the equation by since multiplication is the inverse operation of division.