x^2+9y^2-18y+1=0

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Solution for x^2+9y^2-18y+1=0 equation:


Simplifying
x2 + 9y2 + -18y + 1 = 0

Reorder the terms:
1 + x2 + -18y + 9y2 = 0

Solving
1 + x2 + -18y + 9y2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + x2 + -18y + -1 + 9y2 = 0 + -1

Reorder the terms:
1 + -1 + x2 + -18y + 9y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x2 + -18y + 9y2 = 0 + -1
x2 + -18y + 9y2 = 0 + -1

Combine like terms: 0 + -1 = -1
x2 + -18y + 9y2 = -1

Add '18y' to each side of the equation.
x2 + -18y + 18y + 9y2 = -1 + 18y

Combine like terms: -18y + 18y = 0
x2 + 0 + 9y2 = -1 + 18y
x2 + 9y2 = -1 + 18y

Add '-9y2' to each side of the equation.
x2 + 9y2 + -9y2 = -1 + 18y + -9y2

Combine like terms: 9y2 + -9y2 = 0
x2 + 0 = -1 + 18y + -9y2
x2 = -1 + 18y + -9y2

Simplifying
x2 = -1 + 18y + -9y2

Reorder the terms:
1 + x2 + -18y + 9y2 = -1 + 18y + -9y2 + 1 + -18y + 9y2

Reorder the terms:
1 + x2 + -18y + 9y2 = -1 + 1 + 18y + -18y + -9y2 + 9y2

Combine like terms: -1 + 1 = 0
1 + x2 + -18y + 9y2 = 0 + 18y + -18y + -9y2 + 9y2
1 + x2 + -18y + 9y2 = 18y + -18y + -9y2 + 9y2

Combine like terms: 18y + -18y = 0
1 + x2 + -18y + 9y2 = 0 + -9y2 + 9y2
1 + x2 + -18y + 9y2 = -9y2 + 9y2

Combine like terms: -9y2 + 9y2 = 0
1 + x2 + -18y + 9y2 = 0

The solution to this equation could not be determined.

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