3x*2x*x=(36x^5-12x^3+6x^2)

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Solution for 3x*2x*x=(36x^5-12x^3+6x^2) equation: 


Simplifying
3x * 2x * x = (36x5 + -12x3 + 6x2)

Reorder the terms for easier multiplication:
3 * 2x * x * x = (36x5 + -12x3 + 6x2)

Multiply 3 * 2
6x * x * x = (36x5 + -12x3 + 6x2)

Multiply x * x
6x2 * x = (36x5 + -12x3 + 6x2)

Multiply x2 * x
6x3 = (36x5 + -12x3 + 6x2)

Reorder the terms:
6x3 = (6x2 + -12x3 + 36x5)

Remove parenthesis around (6x2 + -12x3 + 36x5)
6x3 = 6x2 + -12x3 + 36x5

Solving
6x3 = 6x2 + -12x3 + 36x5

Solving for variable 'x'.

Reorder the terms:
-6x2 + 6x3 + 12x3 + -36x5 = 6x2 + -12x3 + 36x5 + -6x2 + 12x3 + -36x5

Combine like terms: 6x3 + 12x3 = 18x3
-6x2 + 18x3 + -36x5 = 6x2 + -12x3 + 36x5 + -6x2 + 12x3 + -36x5

Reorder the terms:
-6x2 + 18x3 + -36x5 = 6x2 + -6x2 + -12x3 + 12x3 + 36x5 + -36x5

Combine like terms: 6x2 + -6x2 = 0
-6x2 + 18x3 + -36x5 = 0 + -12x3 + 12x3 + 36x5 + -36x5
-6x2 + 18x3 + -36x5 = -12x3 + 12x3 + 36x5 + -36x5

Combine like terms: -12x3 + 12x3 = 0
-6x2 + 18x3 + -36x5 = 0 + 36x5 + -36x5
-6x2 + 18x3 + -36x5 = 36x5 + -36x5

Combine like terms: 36x5 + -36x5 = 0
-6x2 + 18x3 + -36x5 = 0

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-1 + 3x + -6x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-1 + 3x + -6x3)' equal to zero and attempt to solve:

Simplifying
-1 + 3x + -6x3 = 0

Solving
-1 + 3x + -6x3 = 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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