-3x(-9x-2)-6x*-6x=x

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Solution for -3x(-9x-2)-6x*-6x=x equation: 


Simplifying
-3x(-9x + -2) + -6x * -6x = x

Reorder the terms:
-3x(-2 + -9x) + -6x * -6x = x
(-2 * -3x + -9x * -3x) + -6x * -6x = x
(6x + 27x2) + -6x * -6x = x

Reorder the terms for easier multiplication:
6x + 27x2 + -6 * -6x * x = x

Multiply -6 * -6
6x + 27x2 + 36x * x = x

Multiply x * x
6x + 27x2 + 36x2 = x

Combine like terms: 27x2 + 36x2 = 63x2
6x + 63x2 = x

Solving
6x + 63x2 = x

Solving for variable 'x'.

Reorder the terms:
6x + -1x + 63x2 = x + -1x

Combine like terms: 6x + -1x = 5x
5x + 63x2 = x + -1x

Combine like terms: x + -1x = 0
5x + 63x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 63x) = 0


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 '(5 + 63x)' equal to zero and attempt to solve:

Simplifying
5 + 63x = 0

Solving
5 + 63x = 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 + 63x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 63x = 0 + -5
63x = 0 + -5

Combine like terms: 0 + -5 = -5
63x = -5

Divide each side by '63'.
x = -0.07936507937

Simplifying
x = -0.07936507937
Solution
x = {0, -0.07936507937}

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