6x^5+6x^4-30x^3+54x^2=0

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Solution for 6x^5+6x^4-30x^3+54x^2=0 equation: 


Simplifying
6x5 + 6x4 + -30x3 + 54x2 = 0

Reorder the terms:
54x2 + -30x3 + 6x4 + 6x5 = 0

Solving
54x2 + -30x3 + 6x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(9 + -5x + x2 + 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 '(9 + -5x + x2 + x3)' equal to zero and attempt to solve:

Simplifying
9 + -5x + x2 + x3 = 0

Solving
9 + -5x + x2 + 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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