The equation 2x2 – 5x = –12 is rewritten in the form of 2(x – p)2 + q = 0. what is the value of q?

2x^2 - 5x + 12 = 0
Factoring out the leading coefficient:
2(x^2 - 5/2 x) + 12 = 0
Completing the square:
2[(x - 5/4)^2 - 25/16] + 12 = 0
2(x - 5/4)^2 - 25/8 + 12 = 0
2(x - 5/4)^2 + 71/8 = 0
q = 71/8