2w^2-11w = -12

To solve this quadratic equation, we first need to get it into standard form.

Starting with the given equation:

2w^2 - 11w = -12

Rearranging the terms:

2w^2 - 11w + 12 = 0

Now, we can factorize the quadratic equation:

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

Setting each factor to zero:

2w - 3 = 0
w = 3/2

w - 4 = 0
w = 4

Therefore, the solutions to the quadratic equation are w = 3/2 and w = 4.