y^2+ay+by+ab=0

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Solution for y^2+ay+by+ab=0 equation:


Simplifying
y2 + ay + by + ab = 0

Reorder the terms:
ab + ay + by + y2 = 0

Solving
ab + ay + by + y2 = 0

Solving for variable 'a'.

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

Add '-1by' to each side of the equation.
ab + ay + by + -1by + y2 = 0 + -1by

Combine like terms: by + -1by = 0
ab + ay + 0 + y2 = 0 + -1by
ab + ay + y2 = 0 + -1by
Remove the zero:
ab + ay + y2 = -1by

Add '-1y2' to each side of the equation.
ab + ay + y2 + -1y2 = -1by + -1y2

Combine like terms: y2 + -1y2 = 0
ab + ay + 0 = -1by + -1y2
ab + ay = -1by + -1y2

Reorder the terms:
ab + ay + by + y2 = -1by + by + -1y2 + y2

Combine like terms: -1by + by = 0
ab + ay + by + y2 = 0 + -1y2 + y2
ab + ay + by + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
ab + ay + by + y2 = 0

The solution to this equation could not be determined.

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