V^4+9=10v^2

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Solution for V^4+9=10v^2 equation: 


Simplifying
V4 + 9 = 10v2

Reorder the terms:
9 + V4 = 10v2

Solving
9 + V4 = 10v2

Solving for variable 'V'.

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

Add '-9' to each side of the equation.
9 + -9 + V4 = -9 + 10v2

Combine like terms: 9 + -9 = 0
0 + V4 = -9 + 10v2
V4 = -9 + 10v2

Simplifying
V4 = -9 + 10v2

Reorder the terms:
9 + V4 + -10v2 = -9 + 10v2 + 9 + -10v2

Reorder the terms:
9 + V4 + -10v2 = -9 + 9 + 10v2 + -10v2

Combine like terms: -9 + 9 = 0
9 + V4 + -10v2 = 0 + 10v2 + -10v2
9 + V4 + -10v2 = 10v2 + -10v2

Combine like terms: 10v2 + -10v2 = 0
9 + V4 + -10v2 = 0

Factor a trinomial.
(V2 + -1v)(V2 + 10v) = 0


Subproblem 1
Set the factor '(V2 + -1v)' equal to zero and attempt to solve:

Simplifying
V2 + -1v = 0

Solving
V2 + -1v = 0

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

Add 'v' to each side of the equation.
V2 + -1v + v = 0 + v

Combine like terms: -1v + v = 0
V2 + 0 = 0 + v
V2 = 0 + v
Remove the zero:
V2 = v

Simplifying
V2 = v

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 '(V2 + 10v)' equal to zero and attempt to solve:

Simplifying
V2 + 10v = 0

Solving
V2 + 10v = 0

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

Add '-10v' to each side of the equation.
V2 + 10v + -10v = 0 + -10v

Combine like terms: 10v + -10v = 0
V2 + 0 = 0 + -10v
V2 = 0 + -10v
Remove the zero:
V2 = -10v

Simplifying
V2 = -10v

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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