Question

Solve for all values of x by factoring.
x² + 2x - 4 = 2x

Answer 1

x=2 x=-2

Explanation:

x² + 2x - 4 = 2x

Subtract 2x from each side

x² + 2x-2x - 4 = 2x-2x

x^2 -4 = 0

Factor

We know this is the difference of squares

(x-2)(x+2) =0

Using the zero product property

x-2 =0 x+2 =0

x=2 x=-2