4vg^4-4vn^2=0

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Solution for 4vg^4-4vn^2=0 equation:


Simplifying
4vg4 + -4vn2 = 0

Solving
4g4v + -4n2v = 0

Solving for variable 'g'.

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

Add '4n2v' to each side of the equation.
4g4v + -4n2v + 4n2v = 0 + 4n2v

Combine like terms: -4n2v + 4n2v = 0
4g4v + 0 = 0 + 4n2v
4g4v = 0 + 4n2v
Remove the zero:
4g4v = 4n2v

Divide each side by '4v'.
g4 = n2

Simplifying
g4 = n2

Combine like terms: n2 + -1n2 = 0
g4 + -1n2 = 0

Factor a difference between two squares.
(g2 + n)(g2 + -1n) = 0

Subproblem 1

Set the factor '(g2 + n)' equal to zero and attempt to solve: Simplifying g2 + n = 0 Solving g2 + n = 0 Move all terms containing g to the left, all other terms to the right. Add '-1n' to each side of the equation. g2 + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 g2 + 0 = 0 + -1n g2 = 0 + -1n Remove the zero: g2 = -1n Simplifying g2 = -1n 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 '(g2 + -1n)' equal to zero and attempt to solve: Simplifying g2 + -1n = 0 Solving g2 + -1n = 0 Move all terms containing g to the left, all other terms to the right. Add 'n' to each side of the equation. g2 + -1n + n = 0 + n Combine like terms: -1n + n = 0 g2 + 0 = 0 + n g2 = 0 + n Remove the zero: g2 = n Simplifying g2 = n 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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