4v^5-500v^2=0

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


Simplifying
4v5 + -500v2 = 0

Reorder the terms:
-500v2 + 4v5 = 0

Solving
-500v2 + 4v5 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v2'.
4v2(-125 + v3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'v2' equal to zero and attempt to solve: Simplifying v2 = 0 Solving v2 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v2 = 0 Take the square root of each side: v = {0}

Subproblem 2

Set the factor '(-125 + v3)' equal to zero and attempt to solve: Simplifying -125 + v3 = 0 Solving -125 + v3 = 0 Move all terms containing v to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + v3 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + v3 = 0 + 125 v3 = 0 + 125 Combine like terms: 0 + 125 = 125 v3 = 125 Simplifying v3 = 125 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

v = {0}

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