4x^2+y^2-6y-16=0

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Solution for 4x^2+y^2-6y-16=0 equation: 


Simplifying
4x2 + y2 + -6y + -16 = 0

Reorder the terms:
-16 + 4x2 + -6y + y2 = 0

Solving
-16 + 4x2 + -6y + y2 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 4x2 + -6y + 16 + y2 = 0 + 16

Reorder the terms:
-16 + 16 + 4x2 + -6y + y2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 4x2 + -6y + y2 = 0 + 16
4x2 + -6y + y2 = 0 + 16

Combine like terms: 0 + 16 = 16
4x2 + -6y + y2 = 16

Add '6y' to each side of the equation.
4x2 + -6y + 6y + y2 = 16 + 6y

Combine like terms: -6y + 6y = 0
4x2 + 0 + y2 = 16 + 6y
4x2 + y2 = 16 + 6y

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = 16 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
4x2 + 0 = 16 + 6y + -1y2
4x2 = 16 + 6y + -1y2

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

Simplifying
x2 = 4 + 1.5y + -0.25y2

Reorder the terms:
-4 + x2 + -1.5y + 0.25y2 = 4 + 1.5y + -0.25y2 + -4 + -1.5y + 0.25y2

Reorder the terms:
-4 + x2 + -1.5y + 0.25y2 = 4 + -4 + 1.5y + -1.5y + -0.25y2 + 0.25y2

Combine like terms: 4 + -4 = 0
-4 + x2 + -1.5y + 0.25y2 = 0 + 1.5y + -1.5y + -0.25y2 + 0.25y2
-4 + x2 + -1.5y + 0.25y2 = 1.5y + -1.5y + -0.25y2 + 0.25y2

Combine like terms: 1.5y + -1.5y = 0.0
-4 + x2 + -1.5y + 0.25y2 = 0.0 + -0.25y2 + 0.25y2
-4 + x2 + -1.5y + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
-4 + x2 + -1.5y + 0.25y2 = 0.00

The solution to this equation could not be determined.

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