6x^2-4y^2-12y-9=0

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Solution for 6x^2-4y^2-12y-9=0 equation: 


Simplifying
6x2 + -4y2 + -12y + -9 = 0

Reorder the terms:
-9 + 6x2 + -12y + -4y2 = 0

Solving
-9 + 6x2 + -12y + -4y2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 6x2 + -12y + 9 + -4y2 = 0 + 9

Reorder the terms:
-9 + 9 + 6x2 + -12y + -4y2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 6x2 + -12y + -4y2 = 0 + 9
6x2 + -12y + -4y2 = 0 + 9

Combine like terms: 0 + 9 = 9
6x2 + -12y + -4y2 = 9

Add '12y' to each side of the equation.
6x2 + -12y + 12y + -4y2 = 9 + 12y

Combine like terms: -12y + 12y = 0
6x2 + 0 + -4y2 = 9 + 12y
6x2 + -4y2 = 9 + 12y

Add '4y2' to each side of the equation.
6x2 + -4y2 + 4y2 = 9 + 12y + 4y2

Combine like terms: -4y2 + 4y2 = 0
6x2 + 0 = 9 + 12y + 4y2
6x2 = 9 + 12y + 4y2

Divide each side by '6'.
x2 = 1.5 + 2y + 0.6666666667y2

Simplifying
x2 = 1.5 + 2y + 0.6666666667y2

Reorder the terms:
-1.5 + x2 + -2y + -0.6666666667y2 = 1.5 + 2y + 0.6666666667y2 + -1.5 + -2y + -0.6666666667y2

Reorder the terms:
-1.5 + x2 + -2y + -0.6666666667y2 = 1.5 + -1.5 + 2y + -2y + 0.6666666667y2 + -0.6666666667y2

Combine like terms: 1.5 + -1.5 = 0.0
-1.5 + x2 + -2y + -0.6666666667y2 = 0.0 + 2y + -2y + 0.6666666667y2 + -0.6666666667y2
-1.5 + x2 + -2y + -0.6666666667y2 = 2y + -2y + 0.6666666667y2 + -0.6666666667y2

Combine like terms: 2y + -2y = 0
-1.5 + x2 + -2y + -0.6666666667y2 = 0 + 0.6666666667y2 + -0.6666666667y2
-1.5 + x2 + -2y + -0.6666666667y2 = 0.6666666667y2 + -0.6666666667y2

Combine like terms: 0.6666666667y2 + -0.6666666667y2 = 0.0000000000
-1.5 + x2 + -2y + -0.6666666667y2 = 0.0000000000

The solution to this equation could not be determined.

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