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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