Question

Can you please help with the following:

x^2+2x-35=0

I can't remember how to get the different possibilities.

Appreciate help, thanks

Answer 1

x^2 + 2x - 35 = 0

-35 = -1*35 = -5*7.
Choose the pair of factors whose sum =
2, the coefficient of X.

(x-5)(x+7) = 0

x-5 = 0
X = 5.

x+7 = 0
X = -7.

Solution Set: X = -7, and 5.