x=36x^4+66x^3-18x^2-12x

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Solution for x=36x^4+66x^3-18x^2-12x equation: 


Simplifying
x = 36x4 + 66x3 + -18x2 + -12x

Reorder the terms:
x = -12x + -18x2 + 66x3 + 36x4

Solving
x = -12x + -18x2 + 66x3 + 36x4

Solving for variable 'x'.

Combine like terms: x + 12x = 13x
13x + 18x2 + -66x3 + -36x4 = -12x + -18x2 + 66x3 + 36x4 + 12x + 18x2 + -66x3 + -36x4

Reorder the terms:
13x + 18x2 + -66x3 + -36x4 = -12x + 12x + -18x2 + 18x2 + 66x3 + -66x3 + 36x4 + -36x4

Combine like terms: -12x + 12x = 0
13x + 18x2 + -66x3 + -36x4 = 0 + -18x2 + 18x2 + 66x3 + -66x3 + 36x4 + -36x4
13x + 18x2 + -66x3 + -36x4 = -18x2 + 18x2 + 66x3 + -66x3 + 36x4 + -36x4

Combine like terms: -18x2 + 18x2 = 0
13x + 18x2 + -66x3 + -36x4 = 0 + 66x3 + -66x3 + 36x4 + -36x4
13x + 18x2 + -66x3 + -36x4 = 66x3 + -66x3 + 36x4 + -36x4

Combine like terms: 66x3 + -66x3 = 0
13x + 18x2 + -66x3 + -36x4 = 0 + 36x4 + -36x4
13x + 18x2 + -66x3 + -36x4 = 36x4 + -36x4

Combine like terms: 36x4 + -36x4 = 0
13x + 18x2 + -66x3 + -36x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 18x + -66x2 + -36x3) = 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 '(13 + 18x + -66x2 + -36x3)' equal to zero and attempt to solve:

Simplifying
13 + 18x + -66x2 + -36x3 = 0

Solving
13 + 18x + -66x2 + -36x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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