a^9y^6-a^9z^6=

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Solution for a^9y^6-a^9z^6= equation: 


Simplifying
a9y6 + -1a9z6 = 0

Solving
a9y6 + -1a9z6 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a9'.
a9(y6 + -1z6) = 0

Factor a difference between two squares.
a9((y3 + z3)(y3 + -1z3)) = 0


Subproblem 1
Set the factor 'a9' equal to zero and attempt to solve:

Simplifying
a9 = 0

Solving
a9 = 0

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

Simplifying
a9 = 0

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 '(y3 + z3)' equal to zero and attempt to solve:

Simplifying
y3 + z3 = 0

Solving
y3 + z3 = 0

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

Add '-1y3' to each side of the equation.
y3 + -1y3 + z3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
0 + z3 = 0 + -1y3
z3 = 0 + -1y3
Remove the zero:
z3 = -1y3

Add '-1z3' to each side of the equation.
z3 + -1z3 = -1y3 + -1z3

Combine like terms: z3 + -1z3 = 0
0 = -1y3 + -1z3

Simplifying
0 = -1y3 + -1z3

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 '(y3 + -1z3)' equal to zero and attempt to solve:

Simplifying
y3 + -1z3 = 0

Solving
y3 + -1z3 = 0

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

Add '-1y3' to each side of the equation.
y3 + -1y3 + -1z3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
0 + -1z3 = 0 + -1y3
-1z3 = 0 + -1y3
Remove the zero:
-1z3 = -1y3

Add 'z3' to each side of the equation.
-1z3 + z3 = -1y3 + z3

Combine like terms: -1z3 + z3 = 0
0 = -1y3 + z3

Simplifying
0 = -1y3 + z3

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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