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

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


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

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

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

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

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

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

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

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

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

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

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

Simplifying
x2 = -1.5 + y + -0.6666666667y2

Reorder the terms:
1.5 + x2 + -1y + 0.6666666667y2 = -1.5 + y + -0.6666666667y2 + 1.5 + -1y + 0.6666666667y2

Reorder the terms:
1.5 + x2 + -1y + 0.6666666667y2 = -1.5 + 1.5 + y + -1y + -0.6666666667y2 + 0.6666666667y2

Combine like terms: -1.5 + 1.5 = 0.0
1.5 + x2 + -1y + 0.6666666667y2 = 0.0 + y + -1y + -0.6666666667y2 + 0.6666666667y2
1.5 + x2 + -1y + 0.6666666667y2 = y + -1y + -0.6666666667y2 + 0.6666666667y2

Combine like terms: y + -1y = 0
1.5 + x2 + -1y + 0.6666666667y2 = 0 + -0.6666666667y2 + 0.6666666667y2
1.5 + x2 + -1y + 0.6666666667y2 = -0.6666666667y2 + 0.6666666667y2

Combine like terms: -0.6666666667y2 + 0.6666666667y2 = 0.0000000000
1.5 + x2 + -1y + 0.6666666667y2 = 0.0000000000

The solution to this equation could not be determined.

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