2a+2b(a+2b)+b=

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Solution for 2a+2b(a+2b)+b= equation:


Simplifying
2a + 2b(a + 2b) + b = 0
2a + (a * 2b + 2b * 2b) + b = 0
2a + (2ab + 4b2) + b = 0

Reorder the terms:
2a + 2ab + b + 4b2 = 0

Solving
2a + 2ab + b + 4b2 = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
2a + 2ab + b + -1b + 4b2 = 0 + -1b

Combine like terms: b + -1b = 0
2a + 2ab + 0 + 4b2 = 0 + -1b
2a + 2ab + 4b2 = 0 + -1b
Remove the zero:
2a + 2ab + 4b2 = -1b

Add '-4b2' to each side of the equation.
2a + 2ab + 4b2 + -4b2 = -1b + -4b2

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

Reorder the terms:
2a + 2ab + b + 4b2 = -1b + b + -4b2 + 4b2

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

Combine like terms: -4b2 + 4b2 = 0
2a + 2ab + b + 4b2 = 0

The solution to this equation could not be determined.

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