Question

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

Answer 1

x = -
`(3)/(2)`, x =
`(2)/(3)`

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 = -
`(3)/(2)`

3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
`(2)/(3)`