(16x^2)+(9y^2)-36y-108=0

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Solution for (16x^2)+(9y^2)-36y-108=0 equation: 


Simplifying
(16x2) + (9y2) + -36y + -108 = 0

Reorder the terms:
-108 + (16x2) + -36y + (9y2) = 0

Solving
-108 + (16x2) + -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 + (16x2) + -36y + 108 + (9y2) = 0 + 108

Reorder the terms:
-108 + 108 + (16x2) + -36y + (9y2) = 0 + 108

Combine like terms: -108 + 108 = 0
0 + (16x2) + -36y + (9y2) = 0 + 108
(16x2) + -36y + (9y2) = 0 + 108

Combine like terms: 0 + 108 = 108
(16x2) + -36y + (9y2) = 108

Add '36y' to each side of the equation.
(16x2) + -36y + 36y + (9y2) = 108 + 36y

Combine like terms: -36y + 36y = 0
(16x2) + 0 + (9y2) = 108 + 36y
(16x2) + (9y2) = 108 + 36y

Add '(-9y2)' to each side of the equation.
(16x2) + (9y2) + (-9y2) = 108 + 36y + (-9y2)

Combine like terms: (9y2) + (-9y2) = 0
(16x2) + 0 = 108 + 36y + (-9y2)
(16x2) = 108 + 36y + (-9y2)

Divide each side by '16'.
x2 = 6.75 + 2.25y + (-0.5625y2)

Simplifying
x2 = 6.75 + 2.25y + (-0.5625y2)

Reorder the terms:
-6.75 + x2 + -2.25y + (0.5625y2) = 6.75 + 2.25y + (-0.5625y2) + -6.75 + -2.25y + (0.5625y2)

Reorder the terms:
-6.75 + x2 + -2.25y + (0.5625y2) = 6.75 + -6.75 + 2.25y + -2.25y + (-0.5625y2) + (0.5625y2)

Combine like terms: 6.75 + -6.75 = 0.00
-6.75 + x2 + -2.25y + (0.5625y2) = 0.00 + 2.25y + -2.25y + (-0.5625y2) + (0.5625y2)
-6.75 + x2 + -2.25y + (0.5625y2) = 2.25y + -2.25y + (-0.5625y2) + (0.5625y2)

Combine like terms: 2.25y + -2.25y = 0.00
-6.75 + x2 + -2.25y + (0.5625y2) = 0.00 + (-0.5625y2) + (0.5625y2)
-6.75 + x2 + -2.25y + (0.5625y2) = (-0.5625y2) + (0.5625y2)

Combine like terms: (-0.5625y2) + (0.5625y2) = 0.0000
-6.75 + x2 + -2.25y + (0.5625y2) = 0.0000

The solution to this equation could not be determined.

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