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

x=4 x=10

Step-by-step 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