4x(6x-4)=8-12x

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Solution for 4x(6x-4)=8-12x equation: 


Simplifying
4x(6x + -4) = 8 + -12x

Reorder the terms:
4x(-4 + 6x) = 8 + -12x
(-4 * 4x + 6x * 4x) = 8 + -12x
(-16x + 24x2) = 8 + -12x

Solving
-16x + 24x2 = 8 + -12x

Solving for variable 'x'.

Reorder the terms:
-8 + -16x + 12x + 24x2 = 8 + -12x + -8 + 12x

Combine like terms: -16x + 12x = -4x
-8 + -4x + 24x2 = 8 + -12x + -8 + 12x

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

Combine like terms: 8 + -8 = 0
-8 + -4x + 24x2 = 0 + -12x + 12x
-8 + -4x + 24x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-8 + -4x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -1x + 6x2) = 0

Factor a trinomial.
4((-1 + -2x)(2 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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 = {-0.5, 0.6666666667}

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