8x^2-64x+118=-2

Solution for 8x^2-64x+118=-2 equation:

Simplifying
8x2 + -64x + 118 = -2

Reorder the terms:
118 + -64x + 8x2 = -2

Solving
118 + -64x + 8x2 = -2

Solving for variable 'x'.

Reorder the terms:
118 + 2 + -64x + 8x2 = -2 + 2

Combine like terms: 118 + 2 = 120
120 + -64x + 8x2 = -2 + 2

Combine like terms: -2 + 2 = 0
120 + -64x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(15 + -8x + x2) = 0

Factor a trinomial.
8((3 + -1x)(5 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
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
Solution
x = {3, 5}