v^4-5v^2=v^8

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Solution for v^4-5v^2=v^8 equation: 


Simplifying
v4 + -5v2 = v8

Reorder the terms:
-5v2 + v4 = v8

Solving
-5v2 + v4 = v8

Solving for variable 'v'.

Combine like terms: v8 + -1v8 = 0
-5v2 + v4 + -1v8 = 0

Factor out the Greatest Common Factor (GCF), 'v2'.
v2(-5 + v2 + -1v6) = 0


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 '(-5 + v2 + -1v6)' equal to zero and attempt to solve:

Simplifying
-5 + v2 + -1v6 = 0

Solving
-5 + v2 + -1v6 = 0

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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