3x^5+6x^4-9x^3+6x^2=0

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Solution for 3x^5+6x^4-9x^3+6x^2=0 equation: 


Simplifying
3x5 + 6x4 + -9x3 + 6x2 = 0

Reorder the terms:
6x2 + -9x3 + 6x4 + 3x5 = 0

Solving
6x2 + -9x3 + 6x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(2 + -3x + 2x2 + x3) = 0

Ignore the factor 3.

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 '(2 + -3x + 2x2 + x3)' equal to zero and attempt to solve:

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

Solving
2 + -3x + 2x2 + 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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