Answer:
x = -1/2, 7
Explanation:
2x^2 = 13x + 7
bring everything to one side: 2x^2 - 13x - 7 = 0
factor it out: 2x1 = 2 and -7x1 = -7.
-7x2 = -14 and 1x1 = 1
-14 + 1 = -13, so these numbers work
you end up with (2x + 1)(x - 7) = 0
solve each section:
2x + 1 = 0 x - 7 = 0
2x = -1 x = 7
x = -1/2