Answer:
x = - [tex]\frac{3}{2}[/tex], x = [tex]\frac{2}{3}[/tex]
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 = - [tex]\frac{3}{2}[/tex]
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
