4(4x-3)6x=12x-12-2x

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Solution for 4(4x-3)6x=12x-12-2x equation: 


Simplifying
4(4x + -3) * 6x = 12x + -12 + -2x

Reorder the terms:
4(-3 + 4x) * 6x = 12x + -12 + -2x

Reorder the terms for easier multiplication:
4 * 6x(-3 + 4x) = 12x + -12 + -2x

Multiply 4 * 6
24x(-3 + 4x) = 12x + -12 + -2x
(-3 * 24x + 4x * 24x) = 12x + -12 + -2x
(-72x + 96x2) = 12x + -12 + -2x

Reorder the terms:
-72x + 96x2 = -12 + 12x + -2x

Combine like terms: 12x + -2x = 10x
-72x + 96x2 = -12 + 10x

Solving
-72x + 96x2 = -12 + 10x

Solving for variable 'x'.

Reorder the terms:
12 + -72x + -10x + 96x2 = -12 + 10x + 12 + -10x

Combine like terms: -72x + -10x = -82x
12 + -82x + 96x2 = -12 + 10x + 12 + -10x

Reorder the terms:
12 + -82x + 96x2 = -12 + 12 + 10x + -10x

Combine like terms: -12 + 12 = 0
12 + -82x + 96x2 = 0 + 10x + -10x
12 + -82x + 96x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -82x + 96x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -41x + 48x2) = 0

Factor a trinomial.
2((3 + -16x)(2 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -16x)' equal to zero and attempt to solve:

Simplifying
3 + -16x = 0

Solving
3 + -16x = 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 + -16x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = 0 + -3
-16x = 0 + -3

Combine like terms: 0 + -3 = -3
-16x = -3

Divide each side by '-16'.
x = 0.1875

Simplifying
x = 0.1875

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0.1875, 0.6666666667}

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