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

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


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

Combine like terms: 3x + -1x = 2x
x = (2x)(12x + -4)

Remove parenthesis around (2x)
x = 2x(12x + -4)

Reorder the terms:
x = 2x(-4 + 12x)
x = (-4 * 2x + 12x * 2x)
x = (-8x + 24x2)

Solving
x = -8x + 24x2

Solving for variable 'x'.

Combine like terms: x + 8x = 9x
9x + -24x2 = -8x + 24x2 + 8x + -24x2

Reorder the terms:
9x + -24x2 = -8x + 8x + 24x2 + -24x2

Combine like terms: -8x + 8x = 0
9x + -24x2 = 0 + 24x2 + -24x2
9x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
9x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(3 + -8x) = 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 '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {0, 0.375}

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