256s^4-g^4=0

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Solution for 256s^4-g^4=0 equation: 


Simplifying
256s4 + -1g4 = 0

Reorder the terms:
-1g4 + 256s4 = 0

Solving
-1g4 + 256s4 = 0

Solving for variable 'g'.

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

Add '-256s4' to each side of the equation.
-1g4 + 256s4 + -256s4 = 0 + -256s4

Combine like terms: 256s4 + -256s4 = 0
-1g4 + 0 = 0 + -256s4
-1g4 = 0 + -256s4
Remove the zero:
-1g4 = -256s4

Divide each side by '-1'.
g4 = 256s4

Simplifying
g4 = 256s4

Combine like terms: 256s4 + -256s4 = 0
g4 + -256s4 = 0

Factor a difference between two squares.
(g2 + 16s2)(g2 + -16s2) = 0

Factor a difference between two squares.
(g2 + 16s2)((g + 4s)(g + -4s)) = 0


Subproblem 1
Set the factor '(g2 + 16s2)' equal to zero and attempt to solve:

Simplifying
g2 + 16s2 = 0

Solving
g2 + 16s2 = 0

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

Add '-16s2' to each side of the equation.
g2 + 16s2 + -16s2 = 0 + -16s2

Combine like terms: 16s2 + -16s2 = 0
g2 + 0 = 0 + -16s2
g2 = 0 + -16s2
Remove the zero:
g2 = -16s2

Simplifying
g2 = -16s2

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 + 4s)' equal to zero and attempt to solve:

Simplifying
g + 4s = 0

Solving
g + 4s = 0

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

Add '-4s' to each side of the equation.
g + 4s + -4s = 0 + -4s

Combine like terms: 4s + -4s = 0
g + 0 = 0 + -4s
g = 0 + -4s
Remove the zero:
g = -4s

Simplifying
g = -4s

Subproblem 3
Set the factor '(g + -4s)' equal to zero and attempt to solve:

Simplifying
g + -4s = 0

Solving
g + -4s = 0

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

Add '4s' to each side of the equation.
g + -4s + 4s = 0 + 4s

Combine like terms: -4s + 4s = 0
g + 0 = 0 + 4s
g = 0 + 4s
Remove the zero:
g = 4s

Simplifying
g = 4s
Solution
g = {-4s, 4s}

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