4a^5-500a^2=0

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


Simplifying
4a5 + -500a2 = 0

Reorder the terms:
-500a2 + 4a5 = 0

Solving
-500a2 + 4a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2'.
4a2(-125 + a3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(-125 + a3)' equal to zero and attempt to solve:

Simplifying
-125 + a3 = 0

Solving
-125 + a3 = 0

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

Add '125' to each side of the equation.
-125 + 125 + a3 = 0 + 125

Combine like terms: -125 + 125 = 0
0 + a3 = 0 + 125
a3 = 0 + 125

Combine like terms: 0 + 125 = 125
a3 = 125

Simplifying
a3 = 125

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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