0=2x^2+8x-64

Solution for 0=2x^2+8x-64 equation:

Simplifying
0 = 2x2 + 8x + -64

Reorder the terms:
0 = -64 + 8x + 2x2

Solving
0 = -64 + 8x + 2x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -4x + -1x2) = 0

Factor a trinomial.
2((4 + -1x)(8 + x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

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

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

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

Simplifying
x = -8
Solution
x = {4, -8}