1296s^4-f^4=0

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Solution for 1296s^4-f^4=0 equation: 


Simplifying
1296s4 + -1f4 = 0

Reorder the terms:
-1f4 + 1296s4 = 0

Solving
-1f4 + 1296s4 = 0

Solving for variable 'f'.

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

Add '-1296s4' to each side of the equation.
-1f4 + 1296s4 + -1296s4 = 0 + -1296s4

Combine like terms: 1296s4 + -1296s4 = 0
-1f4 + 0 = 0 + -1296s4
-1f4 = 0 + -1296s4
Remove the zero:
-1f4 = -1296s4

Divide each side by '-1'.
f4 = 1296s4

Simplifying
f4 = 1296s4

Combine like terms: 1296s4 + -1296s4 = 0
f4 + -1296s4 = 0

Factor a difference between two squares.
(f2 + 36s2)(f2 + -36s2) = 0

Factor a difference between two squares.
(f2 + 36s2)((f + 6s)(f + -6s)) = 0


Subproblem 1
Set the factor '(f2 + 36s2)' equal to zero and attempt to solve:

Simplifying
f2 + 36s2 = 0

Solving
f2 + 36s2 = 0

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

Add '-36s2' to each side of the equation.
f2 + 36s2 + -36s2 = 0 + -36s2

Combine like terms: 36s2 + -36s2 = 0
f2 + 0 = 0 + -36s2
f2 = 0 + -36s2
Remove the zero:
f2 = -36s2

Simplifying
f2 = -36s2

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 '(f + 6s)' equal to zero and attempt to solve:

Simplifying
f + 6s = 0

Solving
f + 6s = 0

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

Add '-6s' to each side of the equation.
f + 6s + -6s = 0 + -6s

Combine like terms: 6s + -6s = 0
f + 0 = 0 + -6s
f = 0 + -6s
Remove the zero:
f = -6s

Simplifying
f = -6s

Subproblem 3
Set the factor '(f + -6s)' equal to zero and attempt to solve:

Simplifying
f + -6s = 0

Solving
f + -6s = 0

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

Add '6s' to each side of the equation.
f + -6s + 6s = 0 + 6s

Combine like terms: -6s + 6s = 0
f + 0 = 0 + 6s
f = 0 + 6s
Remove the zero:
f = 6s

Simplifying
f = 6s
Solution
f = {-6s, 6s}

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