2x2 – 11x = –12

To solve for x, we can start by moving all the terms to one side:

2x^2 - 11x + 12 = 0

We can then factor the quadratic expression:

(2x - 3)(x - 4) = 0

Setting each factor equal to zero and solving for x, we get:

2x - 3 = 0 or x - 4 = 0

Solving for x in each equation, we get:

2x = 3 or x = 4

Dividing by 2 in the first equation, we get:

x = 3/2

Therefore, the solutions for x are x = 3/2 or x = 4.