2(x^2+8x-768)=0

Solution for 2(x^2+8x-768)=0 equation:

Simplifying
2(x2 + 8x + -768) = 0

Reorder the terms:
2(-768 + 8x + x2) = 0
(-768 * 2 + 8x * 2 + x2 * 2) = 0
(-1536 + 16x + 2x2) = 0

Solving
-1536 + 16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-768 + 8x + x2) = 0

Factor a trinomial.
2((-32 + -1x)(24 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-32 + -1x)' equal to zero and attempt to solve:

Simplifying
-32 + -1x = 0

Solving
-32 + -1x = 0

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

Add '32' to each side of the equation.
-32 + 32 + -1x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -1x = 0 + 32
-1x = 0 + 32

Combine like terms: 0 + 32 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32
Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-32, 24}