(2a+3b-4c)(2a+3b+4c)=

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Solution for (2a+3b-4c)(2a+3b+4c)= equation:


Simplifying
(2a + 3b + -4c)(2a + 3b + 4c) = 0

Multiply (2a + 3b + -4c) * (2a + 3b + 4c)
(2a * (2a + 3b + 4c) + 3b * (2a + 3b + 4c) + -4c * (2a + 3b + 4c)) = 0
((2a * 2a + 3b * 2a + 4c * 2a) + 3b * (2a + 3b + 4c) + -4c * (2a + 3b + 4c)) = 0

Reorder the terms:
((6ab + 8ac + 4a2) + 3b * (2a + 3b + 4c) + -4c * (2a + 3b + 4c)) = 0
((6ab + 8ac + 4a2) + 3b * (2a + 3b + 4c) + -4c * (2a + 3b + 4c)) = 0
(6ab + 8ac + 4a2 + (2a * 3b + 3b * 3b + 4c * 3b) + -4c * (2a + 3b + 4c)) = 0

Reorder the terms:
(6ab + 8ac + 4a2 + (6ab + 12bc + 9b2) + -4c * (2a + 3b + 4c)) = 0
(6ab + 8ac + 4a2 + (6ab + 12bc + 9b2) + -4c * (2a + 3b + 4c)) = 0
(6ab + 8ac + 4a2 + 6ab + 12bc + 9b2 + (2a * -4c + 3b * -4c + 4c * -4c)) = 0
(6ab + 8ac + 4a2 + 6ab + 12bc + 9b2 + (-8ac + -12bc + -16c2)) = 0

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

Combine like terms: 6ab + 6ab = 12ab
(12ab + 8ac + -8ac + 4a2 + 12bc + -12bc + 9b2 + -16c2) = 0

Combine like terms: 8ac + -8ac = 0
(12ab + 0 + 4a2 + 12bc + -12bc + 9b2 + -16c2) = 0
(12ab + 4a2 + 12bc + -12bc + 9b2 + -16c2) = 0

Combine like terms: 12bc + -12bc = 0
(12ab + 4a2 + 0 + 9b2 + -16c2) = 0
(12ab + 4a2 + 9b2 + -16c2) = 0

Solving
12ab + 4a2 + 9b2 + -16c2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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