Question

Solve forx: x^2 = 5x

Answer 1

Answer:

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