20-5x+x^2-4+x^2+5x+2x+80=360

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Solution for 20-5x+x^2-4+x^2+5x+2x+80=360 equation: 


Simplifying
20 + -5x + x2 + -4 + x2 + 5x + 2x + 80 = 360

Reorder the terms:
20 + -4 + 80 + -5x + 5x + 2x + x2 + x2 = 360

Combine like terms: 20 + -4 = 16
16 + 80 + -5x + 5x + 2x + x2 + x2 = 360

Combine like terms: 16 + 80 = 96
96 + -5x + 5x + 2x + x2 + x2 = 360

Combine like terms: -5x + 5x = 0
96 + 0 + 2x + x2 + x2 = 360
96 + 2x + x2 + x2 = 360

Combine like terms: x2 + x2 = 2x2
96 + 2x + 2x2 = 360

Solving
96 + 2x + 2x2 = 360

Solving for variable 'x'.

Reorder the terms:
96 + -360 + 2x + 2x2 = 360 + -360

Combine like terms: 96 + -360 = -264
-264 + 2x + 2x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-264 + 2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-132 + x + x2) = 0

Factor a trinomial.
2((-12 + -1x)(11 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-12, 11}

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