4x^2+9y^2+36y-108=0

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Solution for 4x^2+9y^2+36y-108=0 equation: 


Simplifying
4x2 + 9y2 + 36y + -108 = 0

Reorder the terms:
-108 + 4x2 + 36y + 9y2 = 0

Solving
-108 + 4x2 + 36y + 9y2 = 0

Solving for variable 'x'.

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

Add '108' to each side of the equation.
-108 + 4x2 + 36y + 108 + 9y2 = 0 + 108

Reorder the terms:
-108 + 108 + 4x2 + 36y + 9y2 = 0 + 108

Combine like terms: -108 + 108 = 0
0 + 4x2 + 36y + 9y2 = 0 + 108
4x2 + 36y + 9y2 = 0 + 108

Combine like terms: 0 + 108 = 108
4x2 + 36y + 9y2 = 108

Add '-36y' to each side of the equation.
4x2 + 36y + -36y + 9y2 = 108 + -36y

Combine like terms: 36y + -36y = 0
4x2 + 0 + 9y2 = 108 + -36y
4x2 + 9y2 = 108 + -36y

Add '-9y2' to each side of the equation.
4x2 + 9y2 + -9y2 = 108 + -36y + -9y2

Combine like terms: 9y2 + -9y2 = 0
4x2 + 0 = 108 + -36y + -9y2
4x2 = 108 + -36y + -9y2

Divide each side by '4'.
x2 = 27 + -9y + -2.25y2

Simplifying
x2 = 27 + -9y + -2.25y2

Reorder the terms:
-27 + x2 + 9y + 2.25y2 = 27 + -9y + -2.25y2 + -27 + 9y + 2.25y2

Reorder the terms:
-27 + x2 + 9y + 2.25y2 = 27 + -27 + -9y + 9y + -2.25y2 + 2.25y2

Combine like terms: 27 + -27 = 0
-27 + x2 + 9y + 2.25y2 = 0 + -9y + 9y + -2.25y2 + 2.25y2
-27 + x2 + 9y + 2.25y2 = -9y + 9y + -2.25y2 + 2.25y2

Combine like terms: -9y + 9y = 0
-27 + x2 + 9y + 2.25y2 = 0 + -2.25y2 + 2.25y2
-27 + x2 + 9y + 2.25y2 = -2.25y2 + 2.25y2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
-27 + x2 + 9y + 2.25y2 = 0.00

The solution to this equation could not be determined.

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