((a^2)c-6ab+9(b^2)c)*((a^2)+6ab+9(b^2))=

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Solution for ((a^2)c-6ab+9(b^2)c)*((a^2)+6ab+9(b^2))= equation: 


Simplifying
((a2) * c + -6ab + 9(b2) * c)((a2) + 6ab + 9(b2)) = 0

Multiply a2 * c
(a2c + -6ab + 9(b2) * c)((a2) + 6ab + 9(b2)) = 0

Multiply b2 * c
(a2c + -6ab + 9b2c)((a2) + 6ab + 9(b2)) = 0

Reorder the terms:
(-6ab + a2c + 9b2c)((a2) + 6ab + 9(b2)) = 0
(-6ab + a2c + 9b2c)(a2 + 6ab + 9(b2)) = 0

Reorder the terms:
(-6ab + a2c + 9b2c)(6ab + a2 + 9b2) = 0

Multiply (-6ab + a2c + 9b2c) * (6ab + a2 + 9b2)
(-6ab * (6ab + a2 + 9b2) + a2c(6ab + a2 + 9b2) + 9b2c * (6ab + a2 + 9b2)) = 0
((6ab * -6ab + a2 * -6ab + 9b2 * -6ab) + a2c(6ab + a2 + 9b2) + 9b2c * (6ab + a2 + 9b2)) = 0

Reorder the terms:
((-54ab3 + -36a2b2 + -6a3b) + a2c(6ab + a2 + 9b2) + 9b2c * (6ab + a2 + 9b2)) = 0
((-54ab3 + -36a2b2 + -6a3b) + a2c(6ab + a2 + 9b2) + 9b2c * (6ab + a2 + 9b2)) = 0
(-54ab3 + -36a2b2 + -6a3b + (6ab * a2c + a2 * a2c + 9b2 * a2c) + 9b2c * (6ab + a2 + 9b2)) = 0

Reorder the terms:
(-54ab3 + -36a2b2 + -6a3b + (9a2b2c + 6a3bc + a4c) + 9b2c * (6ab + a2 + 9b2)) = 0
(-54ab3 + -36a2b2 + -6a3b + (9a2b2c + 6a3bc + a4c) + 9b2c * (6ab + a2 + 9b2)) = 0
(-54ab3 + -36a2b2 + -6a3b + 9a2b2c + 6a3bc + a4c + (6ab * 9b2c + a2 * 9b2c + 9b2 * 9b2c)) = 0
(-54ab3 + -36a2b2 + -6a3b + 9a2b2c + 6a3bc + a4c + (54ab3c + 9a2b2c + 81b4c)) = 0

Reorder the terms:
(-54ab3 + 54ab3c + -36a2b2 + 9a2b2c + 9a2b2c + -6a3b + 6a3bc + a4c + 81b4c) = 0

Combine like terms: 9a2b2c + 9a2b2c = 18a2b2c
(-54ab3 + 54ab3c + -36a2b2 + 18a2b2c + -6a3b + 6a3bc + a4c + 81b4c) = 0

Solving
-54ab3 + 54ab3c + -36a2b2 + 18a2b2c + -6a3b + 6a3bc + a4c + 81b4c = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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