1080=2x^2-8x-64

Solution for 1080=2x^2-8x-64 equation:

Simplifying
1080 = 2x2 + -8x + -64

Reorder the terms:
1080 = -64 + -8x + 2x2

Solving
1080 = -64 + -8x + 2x2

Solving for variable 'x'.

Combine like terms: 1080 + 64 = 1144
1144 + 8x + -2x2 = -64 + -8x + 2x2 + 64 + 8x + -2x2

Reorder the terms:
1144 + 8x + -2x2 = -64 + 64 + -8x + 8x + 2x2 + -2x2

Combine like terms: -64 + 64 = 0
1144 + 8x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
1144 + 8x + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
1144 + 8x + -2x2 = 0 + 2x2 + -2x2
1144 + 8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1144 + 8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(572 + 4x + -1x2) = 0

Factor a trinomial.
2((26 + -1x)(22 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Solution
x = {26, -22}