Question

Solve for x. x2 + x - 6 = 0

Answer 1

`x^2+x-6=0\\x^2+3x-2x-6=0\\x(x+3)-2(x+3)=0\\(x-2)(x+3)=0\\x=2 \vee x=-3`

Answer 2

x=2 x = -3

Explanation:

x^2 + x - 6 = 0

Factor. What 2 numbers multiply to -6 and add to 1

-2 *3 = -6

-2+3 = -1

(x-2) (x+3) =0

Using the zero product property

x-2 =0 x+3 =0

x=2 x = -3