8x^2+57x+13=6

Solution for 8x^2+57x+13=6 equation:

Simplifying
8x2 + 57x + 13 = 6

Reorder the terms:
13 + 57x + 8x2 = 6

Solving
13 + 57x + 8x2 = 6

Solving for variable 'x'.

Reorder the terms:
13 + -6 + 57x + 8x2 = 6 + -6

Combine like terms: 13 + -6 = 7
7 + 57x + 8x2 = 6 + -6

Combine like terms: 6 + -6 = 0
7 + 57x + 8x2 = 0

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

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
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 = {-7, -0.125}