Question

What are the solutions of the equation (x - 6) (x - 8) =8

Answer 1

x=4 x=10

Explanation:

(x - 6) (x - 8) =8

We need to multiply out the left side

x^2 -8x -6x+48 = 8

x^2 -14x +48 = 8

Subtract 8 from each side

x^2 -14x +48-8 = 8-8

x^2 -14x+40 =0

We need to factor the left side. What two numbers multiply to give 40 and add to give -14

-4*-10 = 40

-4+-10 = -14

(x-4) (x-10) =0

Using the zero product property

x-4=0 x-10 =0

x=4 x=10