64x^4-1=0

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Solution for 64x^4-1=0 equation: 


Simplifying
64x4 + -1 = 0

Reorder the terms:
-1 + 64x4 = 0

Solving
-1 + 64x4 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 64x4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 64x4 = 0 + 1
64x4 = 0 + 1

Combine like terms: 0 + 1 = 1
64x4 = 1

Divide each side by '64'.
x4 = 0.015625

Simplifying
x4 = 0.015625

Reorder the terms:
-0.015625 + x4 = 0.015625 + -0.015625

Combine like terms: 0.015625 + -0.015625 = 0.000000
-0.015625 + x4 = 0.000000

Factor a difference between two squares.
(0.125 + x2)(-0.125 + x2) = 0.000000


Subproblem 1
Set the factor '(0.125 + x2)' equal to zero and attempt to solve:

Simplifying
0.125 + x2 = 0

Solving
0.125 + x2 = 0

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

Add '-0.125' to each side of the equation.
0.125 + -0.125 + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x2 = 0 + -0.125
x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
x2 = -0.125

Simplifying
x2 = -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 + x2)' equal to zero and attempt to solve:

Simplifying
-0.125 + x2 = 0

Solving
-0.125 + x2 = 0

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

Add '0.125' to each side of the equation.
-0.125 + 0.125 + x2 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x2 = 0 + 0.125
x2 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
x2 = 0.125

Simplifying
x2 = 0.125

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

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