(9a^2-16b^2)-2*(3a-4b)*(2b-3c)+(9c^2-4b^2)=0

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Solution for (9a^2-16b^2)-2*(3a-4b)*(2b-3c)+(9c^2-4b^2)=0 equation:


Simplifying
(9a2 + -16b2) + -2(3a + -4b)(2b + -3c) + (9c2 + -4b2) = 0

Remove parenthesis around (9a2 + -16b2)
9a2 + -16b2 + -2(3a + -4b)(2b + -3c) + (9c2 + -4b2) = 0

Multiply (3a + -4b) * (2b + -3c)
9a2 + -16b2 + -2(3a * (2b + -3c) + -4b * (2b + -3c)) + (9c2 + -4b2) = 0
9a2 + -16b2 + -2((2b * 3a + -3c * 3a) + -4b * (2b + -3c)) + (9c2 + -4b2) = 0
9a2 + -16b2 + -2((6ab + -9ac) + -4b * (2b + -3c)) + (9c2 + -4b2) = 0
9a2 + -16b2 + -2(6ab + -9ac + (2b * -4b + -3c * -4b)) + (9c2 + -4b2) = 0

Reorder the terms:
9a2 + -16b2 + -2(6ab + -9ac + (12bc + -8b2)) + (9c2 + -4b2) = 0
9a2 + -16b2 + -2(6ab + -9ac + (12bc + -8b2)) + (9c2 + -4b2) = 0
9a2 + -16b2 + -2(6ab + -9ac + 12bc + -8b2) + (9c2 + -4b2) = 0
9a2 + -16b2 + (6ab * -2 + -9ac * -2 + 12bc * -2 + -8b2 * -2) + (9c2 + -4b2) = 0
9a2 + -16b2 + (-12ab + 18ac + -24bc + 16b2) + (9c2 + -4b2) = 0

Reorder the terms:
9a2 + -16b2 + -12ab + 18ac + -24bc + 16b2 + (-4b2 + 9c2) = 0

Remove parenthesis around (-4b2 + 9c2)
9a2 + -16b2 + -12ab + 18ac + -24bc + 16b2 + -4b2 + 9c2 = 0

Reorder the terms:
-12ab + 18ac + 9a2 + -24bc + -16b2 + 16b2 + -4b2 + 9c2 = 0

Combine like terms: -16b2 + 16b2 = 0
-12ab + 18ac + 9a2 + -24bc + 0 + -4b2 + 9c2 = 0
-12ab + 18ac + 9a2 + -24bc + -4b2 + 9c2 = 0

Solving
-12ab + 18ac + 9a2 + -24bc + -4b2 + 9c2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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