64x^6=1

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Solution for 64x^6=1 equation: 


Simplifying
64x6 = 1

Solving
64x6 = 1

Solving for variable 'x'.

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

Divide each side by '64'.
x6 = 0.015625

Simplifying
x6 = 0.015625

Reorder the terms:
-0.015625 + x6 = 0.015625 + -0.015625

Combine like terms: 0.015625 + -0.015625 = 0.000000
-0.015625 + x6 = 0.000000

Factor a difference between two squares.
(0.125 + x3)(-0.125 + x3) = 0.000000


Subproblem 1
Set the factor '(0.125 + x3)' equal to zero and attempt to solve:

Simplifying
0.125 + x3 = 0

Solving
0.125 + x3 = 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 + x3 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x3 = 0 + -0.125
x3 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
x3 = -0.125

Simplifying
x3 = -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 + x3)' equal to zero and attempt to solve:

Simplifying
-0.125 + x3 = 0

Solving
-0.125 + x3 = 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 + x3 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x3 = 0 + 0.125
x3 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
x3 = 0.125

Simplifying
x3 = 0.125

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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