r^4-1296=

Solution for r^4-1296= equation:

Simplifying
r4 + -1296 = 0

Reorder the terms:
-1296 + r4 = 0

Solving
-1296 + r4 = 0

Solving for variable 'r'.

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

Add '1296' to each side of the equation.
-1296 + 1296 + r4 = 0 + 1296

Combine like terms: -1296 + 1296 = 0
0 + r4 = 0 + 1296
r4 = 0 + 1296

Combine like terms: 0 + 1296 = 1296
r4 = 1296

Simplifying
r4 = 1296

Reorder the terms:
-1296 + r4 = 1296 + -1296

Combine like terms: 1296 + -1296 = 0
-1296 + r4 = 0

Factor a difference between two squares.
(36 + r2)(-36 + r2) = 0

Factor a difference between two squares.
(36 + r2)((6 + r)(-6 + r)) = 0

Subproblem 1
Set the factor '(36 + r2)' equal to zero and attempt to solve:

Simplifying
36 + r2 = 0

Solving
36 + r2 = 0

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

Add '-36' to each side of the equation.
36 + -36 + r2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + r2 = 0 + -36
r2 = 0 + -36

Combine like terms: 0 + -36 = -36
r2 = -36

Simplifying
r2 = -36

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

Simplifying
6 + r = 0

Solving
6 + r = 0

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

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

Combine like terms: 6 + -6 = 0
0 + r = 0 + -6
r = 0 + -6

Combine like terms: 0 + -6 = -6
r = -6

Simplifying
r = -6
Subproblem 3
Set the factor '(-6 + r)' equal to zero and attempt to solve:

Simplifying
-6 + r = 0

Solving
-6 + r = 0

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

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

Combine like terms: -6 + 6 = 0
0 + r = 0 + 6
r = 0 + 6

Combine like terms: 0 + 6 = 6
r = 6

Simplifying
r = 6
Solution
r = {-6, 6}