a=b(a+b+c)2

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


Simplifying
a = b(a + b + c) * 2

Reorder the terms for easier multiplication:
a = 2b(a + b + c)
a = (a * 2b + b * 2b + c * 2b)

Reorder the terms:
a = (2ab + 2bc + 2b2)
a = (2ab + 2bc + 2b2)

Solving
a = 2ab + 2bc + 2b2

Solving for variable 'a'.

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

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

Reorder the terms:
a + -2ab = 2ab + -2ab + 2bc + 2b2

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

Reorder the terms:
a + -2ab + -2bc + -2b2 = 2bc + -2bc + 2b2 + -2b2

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

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

The solution to this equation could not be determined.

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