r^4=0.0625

Solution for r^4=0.0625 equation:

Simplifying
r4 = 0.0625

Solving
r4 = 0.0625

Solving for variable 'r'.

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

Simplifying
r4 = 0.0625

Reorder the terms:
-0.0625 + r4 = 0.0625 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
-0.0625 + r4 = 0.0000

Factor a difference between two squares.
(0.25 + r2)(-0.25 + r2) = 0.0000

Factor a difference between two squares.
(0.25 + r2)((0.5 + r)(-0.5 + r)) = 0.0000

Subproblem 1
Set the factor '(0.25 + r2)' equal to zero and attempt to solve:

Simplifying
0.25 + r2 = 0

Solving
0.25 + r2 = 0

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + r2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + r2 = 0 + -0.25
r2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
r2 = -0.25

Simplifying
r2 = -0.25

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

Simplifying
0.5 + r = 0

Solving
0.5 + r = 0

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + r = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + r = 0 + -0.5
r = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
r = -0.5

Simplifying
r = -0.5
Subproblem 3
Set the factor '(-0.5 + r)' equal to zero and attempt to solve:

Simplifying
-0.5 + r = 0

Solving
-0.5 + r = 0

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + r = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + r = 0 + 0.5
r = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
r = 0.5

Simplifying
r = 0.5
Solution
r = {-0.5, 0.5}