9x^2+y^2-2y=80

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Solution for 9x^2+y^2-2y=80 equation: 


Simplifying
9x2 + y2 + -2y = 80

Reorder the terms:
9x2 + -2y + y2 = 80

Solving
9x2 + -2y + y2 = 80

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
9x2 + -2y + 2y + y2 = 80 + 2y

Combine like terms: -2y + 2y = 0
9x2 + 0 + y2 = 80 + 2y
9x2 + y2 = 80 + 2y

Add '-1y2' to each side of the equation.
9x2 + y2 + -1y2 = 80 + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
9x2 + 0 = 80 + 2y + -1y2
9x2 = 80 + 2y + -1y2

Divide each side by '9'.
x2 = 8.888888889 + 0.2222222222y + -0.1111111111y2

Simplifying
x2 = 8.888888889 + 0.2222222222y + -0.1111111111y2

Reorder the terms:
-8.888888889 + x2 + -0.2222222222y + 0.1111111111y2 = 8.888888889 + 0.2222222222y + -0.1111111111y2 + -8.888888889 + -0.2222222222y + 0.1111111111y2

Reorder the terms:
-8.888888889 + x2 + -0.2222222222y + 0.1111111111y2 = 8.888888889 + -8.888888889 + 0.2222222222y + -0.2222222222y + -0.1111111111y2 + 0.1111111111y2

Combine like terms: 8.888888889 + -8.888888889 = 0.000000000
-8.888888889 + x2 + -0.2222222222y + 0.1111111111y2 = 0.000000000 + 0.2222222222y + -0.2222222222y + -0.1111111111y2 + 0.1111111111y2
-8.888888889 + x2 + -0.2222222222y + 0.1111111111y2 = 0.2222222222y + -0.2222222222y + -0.1111111111y2 + 0.1111111111y2

Combine like terms: 0.2222222222y + -0.2222222222y = 0.0000000000
-8.888888889 + x2 + -0.2222222222y + 0.1111111111y2 = 0.0000000000 + -0.1111111111y2 + 0.1111111111y2
-8.888888889 + x2 + -0.2222222222y + 0.1111111111y2 = -0.1111111111y2 + 0.1111111111y2

Combine like terms: -0.1111111111y2 + 0.1111111111y2 = 0.0000000000
-8.888888889 + x2 + -0.2222222222y + 0.1111111111y2 = 0.0000000000

The solution to this equation could not be determined.

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