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

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


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

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

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

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

Solving for variable 'a'.

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

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

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

Combine like terms: a + 2a = 3a
3a + 4ab + b = -2a + 2a + 2b

Combine like terms: -2a + 2a = 0
3a + 4ab + b = 0 + 2b
3a + 4ab + b = 2b

Add '-1b' to each side of the equation.
3a + 4ab + b + -1b = 2b + -1b

Combine like terms: b + -1b = 0
3a + 4ab + 0 = 2b + -1b
3a + 4ab = 2b + -1b

Combine like terms: 2b + -1b = 1b
3a + 4ab = 1b

Combine like terms: 1b + -1b = 0
3a + 4ab + -1b = 0

The solution to this equation could not be determined.

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