6(x-1)2x-(x-1)+6x-6=

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Solution for 6(x-1)2x-(x-1)+6x-6= equation: 


Simplifying
6(x + -1) * 2x + -1(x + -1) + 6x + -6 = 0

Reorder the terms:
6(-1 + x) * 2x + -1(x + -1) + 6x + -6 = 0

Reorder the terms for easier multiplication:
6 * 2x(-1 + x) + -1(x + -1) + 6x + -6 = 0

Multiply 6 * 2
12x(-1 + x) + -1(x + -1) + 6x + -6 = 0
(-1 * 12x + x * 12x) + -1(x + -1) + 6x + -6 = 0
(-12x + 12x2) + -1(x + -1) + 6x + -6 = 0

Reorder the terms:
-12x + 12x2 + -1(-1 + x) + 6x + -6 = 0
-12x + 12x2 + (-1 * -1 + x * -1) + 6x + -6 = 0
-12x + 12x2 + (1 + -1x) + 6x + -6 = 0

Reorder the terms:
1 + -6 + -12x + -1x + 6x + 12x2 = 0

Combine like terms: 1 + -6 = -5
-5 + -12x + -1x + 6x + 12x2 = 0

Combine like terms: -12x + -1x = -13x
-5 + -13x + 6x + 12x2 = 0

Combine like terms: -13x + 6x = -7x
-5 + -7x + 12x2 = 0

Solving
-5 + -7x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -12x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -12x)' equal to zero and attempt to solve:

Simplifying
-5 + -12x = 0

Solving
-5 + -12x = 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 + -12x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -12x = 0 + 5
-12x = 0 + 5

Combine like terms: 0 + 5 = 5
-12x = 5

Divide each side by '-12'.
x = -0.4166666667

Simplifying
x = -0.4166666667

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

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-0.4166666667, 1}

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