Question

What are the solutions to this equation 2(6X² + 5x) =12

Answer 1

Answer:

x = - $\frac{3}{2}$, x = $\frac{2}{3}$

Step-by-step explanation:

Given

2(6x² + 5x) = 12 ( divide both sides by 2 )

6x² + 5x = 6 ( subtract 6 from both sides )

6x² + 5x - 6 = 0 ← in standard form

(2x + 3)(3x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - $\frac{3}{2}$

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = $\frac{2}{3}$