500x^2-4x^5=0

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Solution for 500x^2-4x^5=0 equation: 


Simplifying
500x2 + -4x5 = 0

Solving
500x2 + -4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(125 + -1x3) = 0

Ignore the factor 4.

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 '(125 + -1x3)' equal to zero and attempt to solve:

Simplifying
125 + -1x3 = 0

Solving
125 + -1x3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-125' to each side of the equation.
125 + -125 + -1x3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -1x3 = 0 + -125
-1x3 = 0 + -125

Combine like terms: 0 + -125 = -125
-1x3 = -125

Divide each side by '-1'.
x3 = 125

Simplifying
x3 = 125

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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