0=x^2-12x-160

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Solution for 0=x^2-12x-160 equation: 


Simplifying
0 = x2 + -12x + -160

Reorder the terms:
0 = -160 + -12x + x2

Solving
0 = -160 + -12x + x2

Solving for variable 'x'.

Combine like terms: 0 + 160 = 160
160 + 12x + -1x2 = -160 + -12x + x2 + 160 + 12x + -1x2

Reorder the terms:
160 + 12x + -1x2 = -160 + 160 + -12x + 12x + x2 + -1x2

Combine like terms: -160 + 160 = 0
160 + 12x + -1x2 = 0 + -12x + 12x + x2 + -1x2
160 + 12x + -1x2 = -12x + 12x + x2 + -1x2

Combine like terms: -12x + 12x = 0
160 + 12x + -1x2 = 0 + x2 + -1x2
160 + 12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
160 + 12x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(8 + x) = 0


Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

Subproblem 2
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
Solution
x = {20, -8}

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