10x^5-30x^3+2x^4-6x^2=0

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Solution for 10x^5-30x^3+2x^4-6x^2=0 equation: 


Simplifying
10x5 + -30x3 + 2x4 + -6x2 = 0

Reorder the terms:
-6x2 + -30x3 + 2x4 + 10x5 = 0

Solving
-6x2 + -30x3 + 2x4 + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-3 + -15x + x2 + 5x3) = 0

Ignore the factor 2.

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 '(-3 + -15x + x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
-3 + -15x + x2 + 5x3 = 0

Solving
-3 + -15x + x2 + 5x3 = 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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