12x-4x(3x-1)+4x=

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Solution for 12x-4x(3x-1)+4x= equation: 


Simplifying
12x + -4x(3x + -1) + 4x = 0

Reorder the terms:
12x + -4x(-1 + 3x) + 4x = 0
12x + (-1 * -4x + 3x * -4x) + 4x = 0
12x + (4x + -12x2) + 4x = 0

Reorder the terms:
12x + 4x + 4x + -12x2 = 0

Combine like terms: 12x + 4x = 16x
16x + 4x + -12x2 = 0

Combine like terms: 16x + 4x = 20x
20x + -12x2 = 0

Solving
20x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5 + -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 '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, 1.666666667}

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