x^2+y^2+8y=9

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


Simplifying
x2 + y2 + 8y = 9

Reorder the terms:
x2 + 8y + y2 = 9

Solving
x2 + 8y + y2 = 9

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x2 = 9 + -8y + -1y2

Reorder the terms:
-9 + x2 + 8y + y2 = 9 + -8y + -1y2 + -9 + 8y + y2

Reorder the terms:
-9 + x2 + 8y + y2 = 9 + -9 + -8y + 8y + -1y2 + y2

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

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

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

The solution to this equation could not be determined.

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