(4a-2b+c)(2a+7b-4c)=

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Solution for (4a-2b+c)(2a+7b-4c)= equation: 


Simplifying
(4a + -2b + c)(2a + 7b + -4c) = 0

Multiply (4a + -2b + c) * (2a + 7b + -4c)
(4a * (2a + 7b + -4c) + -2b * (2a + 7b + -4c) + c(2a + 7b + -4c)) = 0
((2a * 4a + 7b * 4a + -4c * 4a) + -2b * (2a + 7b + -4c) + c(2a + 7b + -4c)) = 0

Reorder the terms:
((28ab + -16ac + 8a2) + -2b * (2a + 7b + -4c) + c(2a + 7b + -4c)) = 0
((28ab + -16ac + 8a2) + -2b * (2a + 7b + -4c) + c(2a + 7b + -4c)) = 0
(28ab + -16ac + 8a2 + (2a * -2b + 7b * -2b + -4c * -2b) + c(2a + 7b + -4c)) = 0

Reorder the terms:
(28ab + -16ac + 8a2 + (-4ab + 8bc + -14b2) + c(2a + 7b + -4c)) = 0
(28ab + -16ac + 8a2 + (-4ab + 8bc + -14b2) + c(2a + 7b + -4c)) = 0
(28ab + -16ac + 8a2 + -4ab + 8bc + -14b2 + (2a * c + 7b * c + -4c * c)) = 0
(28ab + -16ac + 8a2 + -4ab + 8bc + -14b2 + (2ac + 7bc + -4c2)) = 0

Reorder the terms:
(28ab + -4ab + -16ac + 2ac + 8a2 + 8bc + 7bc + -14b2 + -4c2) = 0

Combine like terms: 28ab + -4ab = 24ab
(24ab + -16ac + 2ac + 8a2 + 8bc + 7bc + -14b2 + -4c2) = 0

Combine like terms: -16ac + 2ac = -14ac
(24ab + -14ac + 8a2 + 8bc + 7bc + -14b2 + -4c2) = 0

Combine like terms: 8bc + 7bc = 15bc
(24ab + -14ac + 8a2 + 15bc + -14b2 + -4c2) = 0

Solving
24ab + -14ac + 8a2 + 15bc + -14b2 + -4c2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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