Answer:
x = -3/2 or +2
Explanation:
Write in standard form:
2x^2 -x -6 = 0
Find factors of 2(-6), the product of the first and last coefficients, that have a sum of -1, the middle coefficient.
-12 = -4·3
Split the middle term using those factors:
2x^2 -4x +3x -6 = 0
Factor the pairs of terms:
2x(x -2)+3(x -2) = 0
(2x +3)(x -2) = 0
Use the zero product rule to identify solutions.
2x +3 = 0 ⇒ x = -3/2
x -2 = 0 ⇒ x = 2