Asquared+n+2bsquared=(a+b)(a+2b)

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Solution for Asquared+n+2bsquared=(a+b)(a+2b) equation:


Simplifying
Asquared + n + 2bsquared = (a + b)(a + 2b)

Reorder the terms:
2abdeqrsu + adeqrsuA + n = (a + b)(a + 2b)

Multiply (a + b) * (a + 2b)
2abdeqrsu + adeqrsuA + n = (a(a + 2b) + b(a + 2b))
2abdeqrsu + adeqrsuA + n = ((a * a + 2b * a) + b(a + 2b))

Reorder the terms:
2abdeqrsu + adeqrsuA + n = ((2ab + a2) + b(a + 2b))
2abdeqrsu + adeqrsuA + n = ((2ab + a2) + b(a + 2b))
2abdeqrsu + adeqrsuA + n = (2ab + a2 + (a * b + 2b * b))
2abdeqrsu + adeqrsuA + n = (2ab + a2 + (ab + 2b2))

Reorder the terms:
2abdeqrsu + adeqrsuA + n = (2ab + ab + a2 + 2b2)

Combine like terms: 2ab + ab = 3ab
2abdeqrsu + adeqrsuA + n = (3ab + a2 + 2b2)

Solving
2abdeqrsu + adeqrsuA + n = 3ab + a2 + 2b2

Solving for variable 'a'.

Reorder the terms:
-3ab + 2abdeqrsu + adeqrsuA + -1a2 + -2b2 + n = 3ab + a2 + 2b2 + -3ab + -1a2 + -2b2

Reorder the terms:
-3ab + 2abdeqrsu + adeqrsuA + -1a2 + -2b2 + n = 3ab + -3ab + a2 + -1a2 + 2b2 + -2b2

Combine like terms: 3ab + -3ab = 0
-3ab + 2abdeqrsu + adeqrsuA + -1a2 + -2b2 + n = 0 + a2 + -1a2 + 2b2 + -2b2
-3ab + 2abdeqrsu + adeqrsuA + -1a2 + -2b2 + n = a2 + -1a2 + 2b2 + -2b2

Combine like terms: a2 + -1a2 = 0
-3ab + 2abdeqrsu + adeqrsuA + -1a2 + -2b2 + n = 0 + 2b2 + -2b2
-3ab + 2abdeqrsu + adeqrsuA + -1a2 + -2b2 + n = 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
-3ab + 2abdeqrsu + adeqrsuA + -1a2 + -2b2 + n = 0

The solution to this equation could not be determined.

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