x^2+12x-8=-8

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Solution for x^2+12x-8=-8 equation: 


Simplifying
x2 + 12x + -8 = -8

Reorder the terms:
-8 + 12x + x2 = -8

Add '8' to each side of the equation.
-8 + 12x + 8 + x2 = -8 + 8

Reorder the terms:
-8 + 8 + 12x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
0 + 12x + x2 = -8 + 8
12x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
12x + x2 = 0

Solving
12x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
Solution
x = {0, -12}

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