Answer:
x = 1/2 and x = -7
Step-by-step explanation:
you need to factor
multiply 2 x -7 to get -14
then find factors of -14 that add to give you 13
14 and -1 work
now rewrite the original equation but replace 13x with 14x - 1x
so 2x^2 + 14x - 1x -7 = 0
now factor by grouping
(2x^2 + 14x) (-1x - 7) = 0
factor the greatest common factor out of each group
2x(x + 7) -1(x + 7) = 0
the factors are (2x - 1) (x + 7) = 0
set each factor equal to zero and solve both for x
2x - 1 = 0 x + 7 = 0
+1 +1 - 7 - 7
2x = 1 x = -7
÷2 ÷2
x = 1/2