(2b+a)(2b-a)+4(2b+a)=0

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Solution for (2b+a)(2b-a)+4(2b+a)=0 equation: 


Simplifying
(2b + a)(2b + -1a) + 4(2b + a) = 0

Reorder the terms:
(a + 2b)(2b + -1a) + 4(2b + a) = 0

Reorder the terms:
(a + 2b)(-1a + 2b) + 4(2b + a) = 0

Multiply (a + 2b) * (-1a + 2b)
(a(-1a + 2b) + 2b * (-1a + 2b)) + 4(2b + a) = 0
((-1a * a + 2b * a) + 2b * (-1a + 2b)) + 4(2b + a) = 0

Reorder the terms:
((2ab + -1a2) + 2b * (-1a + 2b)) + 4(2b + a) = 0
((2ab + -1a2) + 2b * (-1a + 2b)) + 4(2b + a) = 0
(2ab + -1a2 + (-1a * 2b + 2b * 2b)) + 4(2b + a) = 0
(2ab + -1a2 + (-2ab + 4b2)) + 4(2b + a) = 0

Reorder the terms:
(2ab + -2ab + -1a2 + 4b2) + 4(2b + a) = 0

Combine like terms: 2ab + -2ab = 0
(0 + -1a2 + 4b2) + 4(2b + a) = 0
(-1a2 + 4b2) + 4(2b + a) = 0

Reorder the terms:
-1a2 + 4b2 + 4(a + 2b) = 0
-1a2 + 4b2 + (a * 4 + 2b * 4) = 0
-1a2 + 4b2 + (4a + 8b) = 0

Reorder the terms:
4a + -1a2 + 8b + 4b2 = 0

Solving
4a + -1a2 + 8b + 4b2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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