9x^2+4y^2+48y+108=0

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Solution for 9x^2+4y^2+48y+108=0 equation: 


Simplifying
9x2 + 4y2 + 48y + 108 = 0

Reorder the terms:
108 + 9x2 + 48y + 4y2 = 0

Solving
108 + 9x2 + 48y + 4y2 = 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 + 9x2 + 48y + -108 + 4y2 = 0 + -108

Reorder the terms:
108 + -108 + 9x2 + 48y + 4y2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 9x2 + 48y + 4y2 = 0 + -108
9x2 + 48y + 4y2 = 0 + -108

Combine like terms: 0 + -108 = -108
9x2 + 48y + 4y2 = -108

Add '-48y' to each side of the equation.
9x2 + 48y + -48y + 4y2 = -108 + -48y

Combine like terms: 48y + -48y = 0
9x2 + 0 + 4y2 = -108 + -48y
9x2 + 4y2 = -108 + -48y

Add '-4y2' to each side of the equation.
9x2 + 4y2 + -4y2 = -108 + -48y + -4y2

Combine like terms: 4y2 + -4y2 = 0
9x2 + 0 = -108 + -48y + -4y2
9x2 = -108 + -48y + -4y2

Divide each side by '9'.
x2 = -12 + -5.333333333y + -0.4444444444y2

Simplifying
x2 = -12 + -5.333333333y + -0.4444444444y2

Reorder the terms:
12 + x2 + 5.333333333y + 0.4444444444y2 = -12 + -5.333333333y + -0.4444444444y2 + 12 + 5.333333333y + 0.4444444444y2

Reorder the terms:
12 + x2 + 5.333333333y + 0.4444444444y2 = -12 + 12 + -5.333333333y + 5.333333333y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: -12 + 12 = 0
12 + x2 + 5.333333333y + 0.4444444444y2 = 0 + -5.333333333y + 5.333333333y + -0.4444444444y2 + 0.4444444444y2
12 + x2 + 5.333333333y + 0.4444444444y2 = -5.333333333y + 5.333333333y + -0.4444444444y2 + 0.4444444444y2

Combine like terms: -5.333333333y + 5.333333333y = 0.000000000
12 + x2 + 5.333333333y + 0.4444444444y2 = 0.000000000 + -0.4444444444y2 + 0.4444444444y2
12 + x2 + 5.333333333y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2

Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000
12 + x2 + 5.333333333y + 0.4444444444y2 = 0.0000000000

The solution to this equation could not be determined.

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