6x^5-18x^4+12x^3=36x^2

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Solution for 6x^5-18x^4+12x^3=36x^2 equation: 


Simplifying
6x5 + -18x4 + 12x3 = 36x2

Reorder the terms:
12x3 + -18x4 + 6x5 = 36x2

Solving
12x3 + -18x4 + 6x5 = 36x2

Solving for variable 'x'.

Reorder the terms:
-36x2 + 12x3 + -18x4 + 6x5 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-36x2 + 12x3 + -18x4 + 6x5 = 0

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-6 + 2x + -3x2 + x3) = 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 '(-6 + 2x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-6 + 2x + -3x2 + x3 = 0

Solving
-6 + 2x + -3x2 + x3 = 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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