9x^2+y^2-8y+7=0

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Solution for 9x^2+y^2-8y+7=0 equation:


Simplifying
9x2 + y2 + -8y + 7 = 0

Reorder the terms:
7 + 9x2 + -8y + y2 = 0

Solving
7 + 9x2 + -8y + y2 = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + 9x2 + -8y + -7 + y2 = 0 + -7

Reorder the terms:
7 + -7 + 9x2 + -8y + y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9x2 + -8y + y2 = 0 + -7
9x2 + -8y + y2 = 0 + -7

Combine like terms: 0 + -7 = -7
9x2 + -8y + y2 = -7

Add '8y' to each side of the equation.
9x2 + -8y + 8y + y2 = -7 + 8y

Combine like terms: -8y + 8y = 0
9x2 + 0 + y2 = -7 + 8y
9x2 + y2 = -7 + 8y

Add '-1y2' to each side of the equation.
9x2 + y2 + -1y2 = -7 + 8y + -1y2

Combine like terms: y2 + -1y2 = 0
9x2 + 0 = -7 + 8y + -1y2
9x2 = -7 + 8y + -1y2

Divide each side by '9'.
x2 = -0.7777777778 + 0.8888888889y + -0.1111111111y2

Simplifying
x2 = -0.7777777778 + 0.8888888889y + -0.1111111111y2

Reorder the terms:
0.7777777778 + x2 + -0.8888888889y + 0.1111111111y2 = -0.7777777778 + 0.8888888889y + -0.1111111111y2 + 0.7777777778 + -0.8888888889y + 0.1111111111y2

Reorder the terms:
0.7777777778 + x2 + -0.8888888889y + 0.1111111111y2 = -0.7777777778 + 0.7777777778 + 0.8888888889y + -0.8888888889y + -0.1111111111y2 + 0.1111111111y2

Combine like terms: -0.7777777778 + 0.7777777778 = 0.0000000000
0.7777777778 + x2 + -0.8888888889y + 0.1111111111y2 = 0.0000000000 + 0.8888888889y + -0.8888888889y + -0.1111111111y2 + 0.1111111111y2
0.7777777778 + x2 + -0.8888888889y + 0.1111111111y2 = 0.8888888889y + -0.8888888889y + -0.1111111111y2 + 0.1111111111y2

Combine like terms: 0.8888888889y + -0.8888888889y = 0.0000000000
0.7777777778 + x2 + -0.8888888889y + 0.1111111111y2 = 0.0000000000 + -0.1111111111y2 + 0.1111111111y2
0.7777777778 + x2 + -0.8888888889y + 0.1111111111y2 = -0.1111111111y2 + 0.1111111111y2

Combine like terms: -0.1111111111y2 + 0.1111111111y2 = 0.0000000000
0.7777777778 + x2 + -0.8888888889y + 0.1111111111y2 = 0.0000000000

The solution to this equation could not be determined.

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