12x^2-8=4x-8

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


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

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

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

Add '8' to each side of the equation.
-8 + 8 + 12x2 = -8 + 8 + 4x

Combine like terms: -8 + 8 = 0
0 + 12x2 = -8 + 8 + 4x
12x2 = -8 + 8 + 4x

Combine like terms: -8 + 8 = 0
12x2 = 0 + 4x
12x2 = 4x

Solving
12x2 = 4x

Solving for variable 'x'.

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

Combine like terms: 4x + -4x = 0
-4x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1 + 3x) = 0

Ignore the factor 4.

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 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {0, 0.3333333333}

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