Solve for all values of x by factoring

x^2-2x-4=-2x+5

x=3 x=-3

Step-by-step explanation:

x^2-2x-4=-2x+5

Add 2x to each side

x^2-2x+2x-4=-2x+2x+5

x^2 - 4 = 5

Subtract 5 from each side

x^2 - 4-5 = 5-5

x^2 - 9 = 0

This is the difference of squares

(x-3) (x+3) = 0

Using the zero product property

x-3 = 0 x+3 = 0

x=3 x=-3