(4a^2+12ab+9b^2)(b+c)-24ab(b+c)=

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Solution for (4a^2+12ab+9b^2)(b+c)-24ab(b+c)= equation: 


Simplifying
(4a2 + 12ab + 9b2)(b + c) + -24ab(b + c) = 0

Reorder the terms:
(12ab + 4a2 + 9b2)(b + c) + -24ab(b + c) = 0

Multiply (12ab + 4a2 + 9b2) * (b + c)
(12ab * (b + c) + 4a2 * (b + c) + 9b2 * (b + c)) + -24ab(b + c) = 0
((b * 12ab + c * 12ab) + 4a2 * (b + c) + 9b2 * (b + c)) + -24ab(b + c) = 0

Reorder the terms:
((12abc + 12ab2) + 4a2 * (b + c) + 9b2 * (b + c)) + -24ab(b + c) = 0
((12abc + 12ab2) + 4a2 * (b + c) + 9b2 * (b + c)) + -24ab(b + c) = 0
(12abc + 12ab2 + (b * 4a2 + c * 4a2) + 9b2 * (b + c)) + -24ab(b + c) = 0
(12abc + 12ab2 + (4a2b + 4a2c) + 9b2 * (b + c)) + -24ab(b + c) = 0
(12abc + 12ab2 + 4a2b + 4a2c + (b * 9b2 + c * 9b2)) + -24ab(b + c) = 0

Reorder the terms:
(12abc + 12ab2 + 4a2b + 4a2c + (9b2c + 9b3)) + -24ab(b + c) = 0
(12abc + 12ab2 + 4a2b + 4a2c + (9b2c + 9b3)) + -24ab(b + c) = 0
(12abc + 12ab2 + 4a2b + 4a2c + 9b2c + 9b3) + -24ab(b + c) = 0
12abc + 12ab2 + 4a2b + 4a2c + 9b2c + 9b3 + (b * -24ab + c * -24ab) = 0

Reorder the terms:
12abc + 12ab2 + 4a2b + 4a2c + 9b2c + 9b3 + (-24abc + -24ab2) = 0
12abc + 12ab2 + 4a2b + 4a2c + 9b2c + 9b3 + (-24abc + -24ab2) = 0

Reorder the terms:
12abc + -24abc + 12ab2 + -24ab2 + 4a2b + 4a2c + 9b2c + 9b3 = 0

Combine like terms: 12abc + -24abc = -12abc
-12abc + 12ab2 + -24ab2 + 4a2b + 4a2c + 9b2c + 9b3 = 0

Combine like terms: 12ab2 + -24ab2 = -12ab2
-12abc + -12ab2 + 4a2b + 4a2c + 9b2c + 9b3 = 0

Solving
-12abc + -12ab2 + 4a2b + 4a2c + 9b2c + 9b3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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