1080=-64+16x-8x+2x^2

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Solution for 1080=-64+16x-8x+2x^2 equation:


Simplifying
1080 = -64 + 16x + -8x + 2x2

Combine like terms: 16x + -8x = 8x
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((22 + -1x)(26 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 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 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22

Subproblem 2

Set the factor '(26 + x)' equal to zero and attempt to solve: Simplifying 26 + x = 0 Solving 26 + x = 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 + x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + x = 0 + -26 x = 0 + -26 Combine like terms: 0 + -26 = -26 x = -26 Simplifying x = -26

Solution

x = {22, -26}

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