64x^7-x=0

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Solution for 64x^7-x=0 equation: 


Simplifying
64x7 + -1x = 0

Reorder the terms:
-1x + 64x7 = 0

Solving
-1x + 64x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 64x6) = 0

Factor a difference between two squares.
x((1 + 8x3)(-1 + 8x3)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(1 + 8x3)' equal to zero and attempt to solve:

Simplifying
1 + 8x3 = 0

Solving
1 + 8x3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x3 = 0 + -1
8x3 = 0 + -1

Combine like terms: 0 + -1 = -1
8x3 = -1

Divide each side by '8'.
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 3
Set the factor '(-1 + 8x3)' equal to zero and attempt to solve:

Simplifying
-1 + 8x3 = 0

Solving
-1 + 8x3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 8x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x3 = 0 + 1
8x3 = 0 + 1

Combine like terms: 0 + 1 = 1
8x3 = 1

Divide each side by '8'.
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.
Solution
x = {0}

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