9rg^4-9rk^4=0

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Solution for 9rg^4-9rk^4=0 equation: 


Simplifying
9rg4 + -9rk4 = 0

Solving
9g4r + -9k4r = 0

Solving for variable 'g'.

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

Add '9k4r' to each side of the equation.
9g4r + -9k4r + 9k4r = 0 + 9k4r

Combine like terms: -9k4r + 9k4r = 0
9g4r + 0 = 0 + 9k4r
9g4r = 0 + 9k4r
Remove the zero:
9g4r = 9k4r

Divide each side by '9r'.
g4 = k4

Simplifying
g4 = k4

Combine like terms: k4 + -1k4 = 0
g4 + -1k4 = 0

Factor a difference between two squares.
(g2 + k2)(g2 + -1k2) = 0

Factor a difference between two squares.
(g2 + k2)((g + k)(g + -1k)) = 0


Subproblem 1
Set the factor '(g2 + k2)' equal to zero and attempt to solve:

Simplifying
g2 + k2 = 0

Solving
g2 + k2 = 0

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

Add '-1k2' to each side of the equation.
g2 + k2 + -1k2 = 0 + -1k2

Combine like terms: k2 + -1k2 = 0
g2 + 0 = 0 + -1k2
g2 = 0 + -1k2
Remove the zero:
g2 = -1k2

Simplifying
g2 = -1k2

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 '(g + k)' equal to zero and attempt to solve:

Simplifying
g + k = 0

Solving
g + k = 0

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

Add '-1k' to each side of the equation.
g + k + -1k = 0 + -1k

Combine like terms: k + -1k = 0
g + 0 = 0 + -1k
g = 0 + -1k
Remove the zero:
g = -1k

Simplifying
g = -1k

Subproblem 3
Set the factor '(g + -1k)' equal to zero and attempt to solve:

Simplifying
g + -1k = 0

Solving
g + -1k = 0

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

Add 'k' to each side of the equation.
g + -1k + k = 0 + k

Combine like terms: -1k + k = 0
g + 0 = 0 + k
g = 0 + k
Remove the zero:
g = k

Simplifying
g = k
Solution
g = {-1k, k}

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