x*x+y*y-y+za=0

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Solution for x*x+y*y-y+za=0 equation:


Simplifying
x * x + y * y + -1y + za = 0

Multiply x * x
x2 + y * y + -1y + za = 0

Multiply y * y
x2 + y2 + -1y + za = 0

Reorder the terms:
az + x2 + -1y + y2 = 0

Solving
az + x2 + -1y + y2 = 0

Solving for variable 'a'.

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

Add '-1x2' to each side of the equation.
az + x2 + -1y + -1x2 + y2 = 0 + -1x2

Reorder the terms:
az + x2 + -1x2 + -1y + y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
az + 0 + -1y + y2 = 0 + -1x2
az + -1y + y2 = 0 + -1x2
Remove the zero:
az + -1y + y2 = -1x2

Add 'y' to each side of the equation.
az + -1y + y + y2 = -1x2 + y

Combine like terms: -1y + y = 0
az + 0 + y2 = -1x2 + y
az + y2 = -1x2 + y

Add '-1y2' to each side of the equation.
az + y2 + -1y2 = -1x2 + y + -1y2

Combine like terms: y2 + -1y2 = 0
az + 0 = -1x2 + y + -1y2
az = -1x2 + y + -1y2

Divide each side by 'z'.
a = -1x2z-1 + yz-1 + -1y2z-1

Simplifying
a = -1x2z-1 + yz-1 + -1y2z-1

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