6x+6x(4x-2)+(4x-2)=

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


Simplifying
6x + 6x(4x + -2) + (4x + -2) = 0

Reorder the terms:
6x + 6x(-2 + 4x) + (4x + -2) = 0
6x + (-2 * 6x + 4x * 6x) + (4x + -2) = 0
6x + (-12x + 24x2) + (4x + -2) = 0

Reorder the terms:
6x + -12x + 24x2 + (-2 + 4x) = 0

Remove parenthesis around (-2 + 4x)
6x + -12x + 24x2 + -2 + 4x = 0

Reorder the terms:
-2 + 6x + -12x + 4x + 24x2 = 0

Combine like terms: 6x + -12x = -6x
-2 + -6x + 4x + 24x2 = 0

Combine like terms: -6x + 4x = -2x
-2 + -2x + 24x2 = 0

Solving
-2 + -2x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1x + 12x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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 = {-0.25, 0.3333333333}

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