Answer:
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
