a^7-ab^6=

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Solution for a^7-ab^6= equation: 


Simplifying
a7 + -1ab6 = 0

Reorder the terms:
-1ab6 + a7 = 0

Solving
-1ab6 + a7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1b6 + a6) = 0

Factor a difference between two squares.
a((b3 + a3)(-1b3 + 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 '(b3 + a3)' equal to zero and attempt to solve:

Simplifying
b3 + a3 = 0

Reorder the terms:
a3 + b3 = 0

Solving
a3 + b3 = 0

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

Add '-1b3' to each side of the equation.
a3 + b3 + -1b3 = 0 + -1b3

Combine like terms: b3 + -1b3 = 0
a3 + 0 = 0 + -1b3
a3 = 0 + -1b3
Remove the zero:
a3 = -1b3

Simplifying
a3 = -1b3

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 '(-1b3 + a3)' equal to zero and attempt to solve:

Simplifying
-1b3 + a3 = 0

Reorder the terms:
a3 + -1b3 = 0

Solving
a3 + -1b3 = 0

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

Add 'b3' to each side of the equation.
a3 + -1b3 + b3 = 0 + b3

Combine like terms: -1b3 + b3 = 0
a3 + 0 = 0 + b3
a3 = 0 + b3
Remove the zero:
a3 = b3

Simplifying
a3 = b3

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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