9a^6-57a^3b^3+60b^6=

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Solution for 9a^6-57a^3b^3+60b^6= equation: 


Simplifying
9a6 + -57a3b3 + 60b6 = 0

Reorder the terms:
-57a3b3 + 9a6 + 60b6 = 0

Solving
-57a3b3 + 9a6 + 60b6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-19a3b3 + 3a6 + 20b6) = 0

Factor a trinomial.
3((a3 + -5b3)(3a3 + -4b3)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(a3 + -5b3)' equal to zero and attempt to solve:

Simplifying
a3 + -5b3 = 0

Solving
a3 + -5b3 = 0

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

Add '5b3' to each side of the equation.
a3 + -5b3 + 5b3 = 0 + 5b3

Combine like terms: -5b3 + 5b3 = 0
a3 + 0 = 0 + 5b3
a3 = 0 + 5b3
Remove the zero:
a3 = 5b3

Simplifying
a3 = 5b3

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 '(3a3 + -4b3)' equal to zero and attempt to solve:

Simplifying
3a3 + -4b3 = 0

Solving
3a3 + -4b3 = 0

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

Add '4b3' to each side of the equation.
3a3 + -4b3 + 4b3 = 0 + 4b3

Combine like terms: -4b3 + 4b3 = 0
3a3 + 0 = 0 + 4b3
3a3 = 0 + 4b3
Remove the zero:
3a3 = 4b3

Divide each side by '3'.
a3 = 1.333333333b3

Simplifying
a3 = 1.333333333b3

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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