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

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


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

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

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

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

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

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

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

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

Add '-1y2' to each side of the equation.
-4x2 + y2 + -1y2 = -9 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
-4x2 + 0 = -9 + 6y + -1y2
-4x2 = -9 + 6y + -1y2

Divide each side by '-4'.
x2 = 2.25 + -1.5y + 0.25y2

Simplifying
x2 = 2.25 + -1.5y + 0.25y2

Reorder the terms:
-2.25 + x2 + 1.5y + -0.25y2 = 2.25 + -1.5y + 0.25y2 + -2.25 + 1.5y + -0.25y2

Reorder the terms:
-2.25 + x2 + 1.5y + -0.25y2 = 2.25 + -2.25 + -1.5y + 1.5y + 0.25y2 + -0.25y2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + x2 + 1.5y + -0.25y2 = 0.00 + -1.5y + 1.5y + 0.25y2 + -0.25y2
-2.25 + x2 + 1.5y + -0.25y2 = -1.5y + 1.5y + 0.25y2 + -0.25y2

Combine like terms: -1.5y + 1.5y = 0.0
-2.25 + x2 + 1.5y + -0.25y2 = 0.0 + 0.25y2 + -0.25y2
-2.25 + x2 + 1.5y + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-2.25 + x2 + 1.5y + -0.25y2 = 0.00

The solution to this equation could not be determined.

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