(6b-7a+8c)(7a-6b+8c)=

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Solution for (6b-7a+8c)(7a-6b+8c)= equation: 


Simplifying
(6b + -7a + 8c)(7a + -6b + 8c) = 0

Reorder the terms:
(-7a + 6b + 8c)(7a + -6b + 8c) = 0

Multiply (-7a + 6b + 8c) * (7a + -6b + 8c)
(-7a * (7a + -6b + 8c) + 6b * (7a + -6b + 8c) + 8c * (7a + -6b + 8c)) = 0
((7a * -7a + -6b * -7a + 8c * -7a) + 6b * (7a + -6b + 8c) + 8c * (7a + -6b + 8c)) = 0

Reorder the terms:
((42ab + -56ac + -49a2) + 6b * (7a + -6b + 8c) + 8c * (7a + -6b + 8c)) = 0
((42ab + -56ac + -49a2) + 6b * (7a + -6b + 8c) + 8c * (7a + -6b + 8c)) = 0
(42ab + -56ac + -49a2 + (7a * 6b + -6b * 6b + 8c * 6b) + 8c * (7a + -6b + 8c)) = 0

Reorder the terms:
(42ab + -56ac + -49a2 + (42ab + 48bc + -36b2) + 8c * (7a + -6b + 8c)) = 0
(42ab + -56ac + -49a2 + (42ab + 48bc + -36b2) + 8c * (7a + -6b + 8c)) = 0
(42ab + -56ac + -49a2 + 42ab + 48bc + -36b2 + (7a * 8c + -6b * 8c + 8c * 8c)) = 0
(42ab + -56ac + -49a2 + 42ab + 48bc + -36b2 + (56ac + -48bc + 64c2)) = 0

Reorder the terms:
(42ab + 42ab + -56ac + 56ac + -49a2 + 48bc + -48bc + -36b2 + 64c2) = 0

Combine like terms: 42ab + 42ab = 84ab
(84ab + -56ac + 56ac + -49a2 + 48bc + -48bc + -36b2 + 64c2) = 0

Combine like terms: -56ac + 56ac = 0
(84ab + 0 + -49a2 + 48bc + -48bc + -36b2 + 64c2) = 0
(84ab + -49a2 + 48bc + -48bc + -36b2 + 64c2) = 0

Combine like terms: 48bc + -48bc = 0
(84ab + -49a2 + 0 + -36b2 + 64c2) = 0
(84ab + -49a2 + -36b2 + 64c2) = 0

Solving
84ab + -49a2 + -36b2 + 64c2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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