4x^2+4y^2-36y+81=0

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Solution for 4x^2+4y^2-36y+81=0 equation:


Simplifying
4x2 + 4y2 + -36y + 81 = 0

Reorder the terms:
81 + 4x2 + -36y + 4y2 = 0

Solving
81 + 4x2 + -36y + 4y2 = 0

Solving for variable 'x'.

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

Add '-81' to each side of the equation.
81 + 4x2 + -36y + -81 + 4y2 = 0 + -81

Reorder the terms:
81 + -81 + 4x2 + -36y + 4y2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 4x2 + -36y + 4y2 = 0 + -81
4x2 + -36y + 4y2 = 0 + -81

Combine like terms: 0 + -81 = -81
4x2 + -36y + 4y2 = -81

Add '36y' to each side of the equation.
4x2 + -36y + 36y + 4y2 = -81 + 36y

Combine like terms: -36y + 36y = 0
4x2 + 0 + 4y2 = -81 + 36y
4x2 + 4y2 = -81 + 36y

Add '-4y2' to each side of the equation.
4x2 + 4y2 + -4y2 = -81 + 36y + -4y2

Combine like terms: 4y2 + -4y2 = 0
4x2 + 0 = -81 + 36y + -4y2
4x2 = -81 + 36y + -4y2

Divide each side by '4'.
x2 = -20.25 + 9y + -1y2

Simplifying
x2 = -20.25 + 9y + -1y2

Reorder the terms:
20.25 + x2 + -9y + y2 = -20.25 + 9y + -1y2 + 20.25 + -9y + y2

Reorder the terms:
20.25 + x2 + -9y + y2 = -20.25 + 20.25 + 9y + -9y + -1y2 + y2

Combine like terms: -20.25 + 20.25 = 0.00
20.25 + x2 + -9y + y2 = 0.00 + 9y + -9y + -1y2 + y2
20.25 + x2 + -9y + y2 = 9y + -9y + -1y2 + y2

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

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

The solution to this equation could not be determined.

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