x^2+12x-114x=0

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Solution for x^2+12x-114x=0 equation: 


Simplifying
x2 + 12x + -114x = 0

Reorder the terms:
12x + -114x + x2 = 0

Combine like terms: 12x + -114x = -102x
-102x + x2 = 0

Solving
-102x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-102 + 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 '(-102 + x)' equal to zero and attempt to solve:

Simplifying
-102 + x = 0

Solving
-102 + x = 0

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

Add '102' to each side of the equation.
-102 + 102 + x = 0 + 102

Combine like terms: -102 + 102 = 0
0 + x = 0 + 102
x = 0 + 102

Combine like terms: 0 + 102 = 102
x = 102

Simplifying
x = 102
Solution
x = {0, 102}

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