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

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


Simplifying
2x5 + -1x4 + 10x3 + -5x2 = 0

Reorder the terms:
-5x2 + 10x3 + -1x4 + 2x5 = 0

Solving
-5x2 + 10x3 + -1x4 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-5 + 10x + -1x2 + 2x3) = 0


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 '(-5 + 10x + -1x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-5 + 10x + -1x2 + 2x3 = 0

Solving
-5 + 10x + -1x2 + 2x3 = 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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