a^7-64a=0

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


Simplifying
a7 + -64a = 0

Reorder the terms:
-64a + a7 = 0

Solving
-64a + a7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-64 + a6) = 0

Factor a difference between two squares.
a((8 + a3)(-8 + a3)) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(8 + a3)' equal to zero and attempt to solve:

Simplifying
8 + a3 = 0

Solving
8 + a3 = 0

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

Add '-8' to each side of the equation.
8 + -8 + a3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a3 = 0 + -8
a3 = 0 + -8

Combine like terms: 0 + -8 = -8
a3 = -8

Simplifying
a3 = -8

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 '(-8 + a3)' equal to zero and attempt to solve:

Simplifying
-8 + a3 = 0

Solving
-8 + a3 = 0

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

Add '8' to each side of the equation.
-8 + 8 + a3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + a3 = 0 + 8
a3 = 0 + 8

Combine like terms: 0 + 8 = 8
a3 = 8

Simplifying
a3 = 8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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