Which is a solution to the equation (х - 3) (х - 5) = 35?

х = - 8

x = - 5

х = 2

х = 10

x = 10

Step-by-step explanation:

Given

x - 3) (x - 5) = 35 ← expand the left side using FOIL

x² - 8x + 15 = 35 (subtract 35 from both sides)

x² - 8x - 20 = 0 ← in standard form

(x - 10) (x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 2 = 0 ⇒ x = - 2

Thus x = 10 is a solution to the equation