7x^2-14x-64=-8

Solution for 7x^2-14x-64=-8 equation:

Simplifying
7x2 + -14x + -64 = -8

Reorder the terms:
-64 + -14x + 7x2 = -8

Solving
-64 + -14x + 7x2 = -8

Solving for variable 'x'.

Reorder the terms:
-64 + 8 + -14x + 7x2 = -8 + 8

Combine like terms: -64 + 8 = -56
-56 + -14x + 7x2 = -8 + 8

Combine like terms: -8 + 8 = 0
-56 + -14x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-8 + -2x + x2) = 0

Factor a trinomial.
7((-2 + -1x)(4 + -1x)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2, 4}