8x^2+39x-7=-2

Solution for 8x^2+39x-7=-2 equation:

Simplifying
8x2 + 39x + -7 = -2

Reorder the terms:
-7 + 39x + 8x2 = -2

Solving
-7 + 39x + 8x2 = -2

Solving for variable 'x'.

Reorder the terms:
-7 + 2 + 39x + 8x2 = -2 + 2

Combine like terms: -7 + 2 = -5
-5 + 39x + 8x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-5 + 39x + 8x2 = 0

Factor a trinomial.
(-5 + -1x)(1 + -8x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {-5, 0.125}