64x^6-1=

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Solution for 64x^6-1= equation:


Simplifying
64x6 + -1 = 0

Reorder the terms:
-1 + 64x6 = 0

Solving
-1 + 64x6 = 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 + 64x6 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 64x6 = 0 + 1
64x6 = 0 + 1

Combine like terms: 0 + 1 = 1
64x6 = 1

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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