8x-8+4x-4=12x^2-24x-12

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Solution for 8x-8+4x-4=12x^2-24x-12 equation: 


Simplifying
8x + -8 + 4x + -4 = 12x2 + -24x + -12

Reorder the terms:
-8 + -4 + 8x + 4x = 12x2 + -24x + -12

Combine like terms: -8 + -4 = -12
-12 + 8x + 4x = 12x2 + -24x + -12

Combine like terms: 8x + 4x = 12x
-12 + 12x = 12x2 + -24x + -12

Reorder the terms:
-12 + 12x = -12 + -24x + 12x2

Add '12' to each side of the equation.
-12 + 12 + 12x = -12 + -24x + 12 + 12x2

Combine like terms: -12 + 12 = 0
0 + 12x = -12 + -24x + 12 + 12x2
12x = -12 + -24x + 12 + 12x2

Reorder the terms:
12x = -12 + 12 + -24x + 12x2

Combine like terms: -12 + 12 = 0
12x = 0 + -24x + 12x2
12x = -24x + 12x2

Solving
12x = -24x + 12x2

Solving for variable 'x'.

Combine like terms: 12x + 24x = 36x
36x + -12x2 = -24x + 12x2 + 24x + -12x2

Reorder the terms:
36x + -12x2 = -24x + 24x + 12x2 + -12x2

Combine like terms: -24x + 24x = 0
36x + -12x2 = 0 + 12x2 + -12x2
36x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
36x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(3 + -1x) = 0

Ignore the factor 12.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, 3}

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