Question

Solve x2 + 5x = −6. x = 5 and x = 1 x = −5 and x = −1 x = 3 and x = 2 x = −3 and x = −2

Answer 1

x = −3 and x = −2

Explanation:

x^2 + 5x = −6

Add 6 to each side

x^2 + 5x+6 = −6+6

x^2 +5x+6 =0

Factor

What 2 number multiply to 6 and add to 5

3*2 =6

3+2 =5

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

Using the zero product property

x+3 =0 x+2 =0

x+3-3=0-3 x+2-2=0-2

x=-3 x=-2