0=-2x^2-24x-64

Solution for 0=-2x^2-24x-64 equation:

Simplifying
0 = -2x2 + -24x + -64

Reorder the terms:
0 = -64 + -24x + -2x2

Solving
0 = -64 + -24x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 64 = 64
64 + 24x + 2x2 = -64 + -24x + -2x2 + 64 + 24x + 2x2

Reorder the terms:
64 + 24x + 2x2 = -64 + 64 + -24x + 24x + -2x2 + 2x2

Combine like terms: -64 + 64 = 0
64 + 24x + 2x2 = 0 + -24x + 24x + -2x2 + 2x2
64 + 24x + 2x2 = -24x + 24x + -2x2 + 2x2

Combine like terms: -24x + 24x = 0
64 + 24x + 2x2 = 0 + -2x2 + 2x2
64 + 24x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
64 + 24x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 12x + x2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

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