V^4-v^2=0

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Solution for V^4-v^2=0 equation:


Simplifying
V4 + -1v2 = 0

Solving
V4 + -1v2 = 0

Solving for variable 'V'.

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

Add 'v2' to each side of the equation.
V4 + -1v2 + v2 = 0 + v2

Combine like terms: -1v2 + v2 = 0
V4 + 0 = 0 + v2
V4 = 0 + v2
Remove the zero:
V4 = v2

Simplifying
V4 = v2

Combine like terms: v2 + -1v2 = 0
V4 + -1v2 = 0

Factor a difference between two squares.
(V2 + v)(V2 + -1v) = 0

Subproblem 1

Set the factor '(V2 + v)' equal to zero and attempt to solve: Simplifying V2 + v = 0 Solving V2 + v = 0 Move all terms containing V to the left, all other terms to the right. Add '-1v' to each side of the equation. V2 + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 V2 + 0 = 0 + -1v V2 = 0 + -1v Remove the zero: V2 = -1v Simplifying V2 = -1v 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 + -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. The solution to this equation could not be determined.

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