8v^4-5v^6+v^8=

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Solution for 8v^4-5v^6+v^8= equation: 


Simplifying
8v4 + -5v6 + v8 = 0

Solving
8v4 + -5v6 + v8 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v4'.
v4(8 + -5v2 + v4) = 0


Subproblem 1
Set the factor 'v4' equal to zero and attempt to solve:

Simplifying
v4 = 0

Solving
v4 = 0

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

Simplifying
v4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(8 + -5v2 + v4)' equal to zero and attempt to solve:

Simplifying
8 + -5v2 + v4 = 0

Solving
8 + -5v2 + v4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5v2 + -8 + v4 = 0 + -8

Reorder the terms:
8 + -8 + -5v2 + v4 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5v2 + v4 = 0 + -8
-5v2 + v4 = 0 + -8

Combine like terms: 0 + -8 = -8
-5v2 + v4 = -8

The v term is -5v2.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5v2 + 6.25 + v4 = -8 + 6.25

Reorder the terms:
6.25 + -5v2 + v4 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + -5v2 + v4 = -1.75

Factor a perfect square on the left side:
(v2 + -2.5)(v2 + -2.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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