Answer:
x=7 x=-5
Step-by-step explanation:
x^2 -2x-35 = 0
Factor
What two numbers multiply to -35 and add to -2
-7*5 = -35
-7+5 = -2
(x-7) (x+5) =0
Using the zero product property
x-7 =0 x+5 =0
x = 7 or
x = -5
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) + 5(x - 7) = 0
(x - 7) (x + 5) = 0
x - 7 = 0 or x + 5 = 0
x = 7 or x = -5
