3x^2-3x-12=-12

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Solution for 3x^2-3x-12=-12 equation:


Simplifying
3x2 + -3x + -12 = -12

Reorder the terms:
-12 + -3x + 3x2 = -12

Add '12' to each side of the equation.
-12 + -3x + 12 + 3x2 = -12 + 12

Reorder the terms:
-12 + 12 + -3x + 3x2 = -12 + 12

Combine like terms: -12 + 12 = 0
0 + -3x + 3x2 = -12 + 12
-3x + 3x2 = -12 + 12

Combine like terms: -12 + 12 = 0
-3x + 3x2 = 0

Solving
-3x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + x) = 0

Ignore the factor 3.

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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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