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

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


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

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

Reorder the terms:
(ay + -1a2) = ab + 2b(y + -1b)
(ay + -1a2) = ab + 2b(y + -1b)

Reorder the terms:
ay + -1a2 = ab + 2b(-1b + y)
ay + -1a2 = ab + (-1b * 2b + y * 2b)

Reorder the terms:
ay + -1a2 = ab + (2by + -2b2)
ay + -1a2 = ab + (2by + -2b2)

Solving
ay + -1a2 = ab + 2by + -2b2

Solving for variable 'a'.

Reorder the terms:
-1ab + ay + -1a2 + -2by + 2b2 = ab + 2by + -2b2 + -1ab + -2by + 2b2

Reorder the terms:
-1ab + ay + -1a2 + -2by + 2b2 = ab + -1ab + 2by + -2by + -2b2 + 2b2

Combine like terms: ab + -1ab = 0
-1ab + ay + -1a2 + -2by + 2b2 = 0 + 2by + -2by + -2b2 + 2b2
-1ab + ay + -1a2 + -2by + 2b2 = 2by + -2by + -2b2 + 2b2

Combine like terms: 2by + -2by = 0
-1ab + ay + -1a2 + -2by + 2b2 = 0 + -2b2 + 2b2
-1ab + ay + -1a2 + -2by + 2b2 = -2b2 + 2b2

Combine like terms: -2b2 + 2b2 = 0
-1ab + ay + -1a2 + -2by + 2b2 = 0

The solution to this equation could not be determined.

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