Question

Solve x^2+5x=-6 please solve this using quadratics

Answer 1

x2 + 5x + 6 = 0

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

x = -2 or -3

Answer 2

x = - 3, x = - 2

Explanation:

Given

x² + 5x = - 6 ( add 6 to both sides )

x² + 5x + 6 = 0 ← in standard form

(x + 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2