5x^5-10x^4+25x^3-50x^2=0

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Solution for 5x^5-10x^4+25x^3-50x^2=0 equation: 


Simplifying
5x5 + -10x4 + 25x3 + -50x2 = 0

Reorder the terms:
-50x2 + 25x3 + -10x4 + 5x5 = 0

Solving
-50x2 + 25x3 + -10x4 + 5x5 = 0

Solving for variable 'x'.

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

Ignore the factor 5.

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

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

Solving
-10 + 5x + -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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