Question

Show all steps solving this 2x^2=13x+7

Answer 1

Answer:

x = -1/2, 7

Step-by-step 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