a^2+4b^2+4ab-a^2+ab+2ab+2b^2=

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Solution for a^2+4b^2+4ab-a^2+ab+2ab+2b^2= equation: 


Simplifying
a2 + 4b2 + 4ab + -1a2 + ab + 2ab + 2b2 = 0

Reorder the terms:
4ab + ab + 2ab + a2 + -1a2 + 4b2 + 2b2 = 0

Combine like terms: 4ab + ab = 5ab
5ab + 2ab + a2 + -1a2 + 4b2 + 2b2 = 0

Combine like terms: 5ab + 2ab = 7ab
7ab + a2 + -1a2 + 4b2 + 2b2 = 0

Combine like terms: a2 + -1a2 = 0
7ab + 0 + 4b2 + 2b2 = 0
7ab + 4b2 + 2b2 = 0

Combine like terms: 4b2 + 2b2 = 6b2
7ab + 6b2 = 0

Solving
7ab + 6b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-6b2' to each side of the equation.
7ab + 6b2 + -6b2 = 0 + -6b2

Combine like terms: 6b2 + -6b2 = 0
7ab + 0 = 0 + -6b2
7ab = 0 + -6b2
Remove the zero:
7ab = -6b2

Divide each side by '7b'.
a = -0.8571428571b

Simplifying
a = -0.8571428571b

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