256r^4=4

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Solution for 256r^4=4 equation: 


Simplifying
256r4 = 4

Solving
256r4 = 4

Solving for variable 'r'.

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

Divide each side by '256'.
r4 = 0.015625

Simplifying
r4 = 0.015625

Reorder the terms:
-0.015625 + r4 = 0.015625 + -0.015625

Combine like terms: 0.015625 + -0.015625 = 0.000000
-0.015625 + r4 = 0.000000

Factor a difference between two squares.
(0.125 + r2)(-0.125 + r2) = 0.000000


Subproblem 1
Set the factor '(0.125 + r2)' equal to zero and attempt to solve:

Simplifying
0.125 + r2 = 0

Solving
0.125 + r2 = 0

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

Add '-0.125' to each side of the equation.
0.125 + -0.125 + r2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + r2 = 0 + -0.125
r2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
r2 = -0.125

Simplifying
r2 = -0.125

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 '(-0.125 + r2)' equal to zero and attempt to solve:

Simplifying
-0.125 + r2 = 0

Solving
-0.125 + r2 = 0

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

Add '0.125' to each side of the equation.
-0.125 + 0.125 + r2 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + r2 = 0 + 0.125
r2 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
r2 = 0.125

Simplifying
r2 = 0.125

Take the square root of each side:
r = {-0.353553391, 0.353553391}
Solution
r = {-0.353553391, 0.353553391}

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