Solve forx: x^2 = 5x

x = 5

x = 0

Pulling out like terms:

2.1 Pull out like factors:

x2 - 5x = x • (x - 5)

Equation at the end of step 2:

x • (x - 5) = 0

Step 3:

Theory - Roots of a product:

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation