3x^2+y^2-24y+39=0

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Solution for 3x^2+y^2-24y+39=0 equation: 


Simplifying
3x2 + y2 + -24y + 39 = 0

Reorder the terms:
39 + 3x2 + -24y + y2 = 0

Solving
39 + 3x2 + -24y + y2 = 0

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + 3x2 + -24y + -39 + y2 = 0 + -39

Reorder the terms:
39 + -39 + 3x2 + -24y + y2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 3x2 + -24y + y2 = 0 + -39
3x2 + -24y + y2 = 0 + -39

Combine like terms: 0 + -39 = -39
3x2 + -24y + y2 = -39

Add '24y' to each side of the equation.
3x2 + -24y + 24y + y2 = -39 + 24y

Combine like terms: -24y + 24y = 0
3x2 + 0 + y2 = -39 + 24y
3x2 + y2 = -39 + 24y

Add '-1y2' to each side of the equation.
3x2 + y2 + -1y2 = -39 + 24y + -1y2

Combine like terms: y2 + -1y2 = 0
3x2 + 0 = -39 + 24y + -1y2
3x2 = -39 + 24y + -1y2

Divide each side by '3'.
x2 = -13 + 8y + -0.3333333333y2

Simplifying
x2 = -13 + 8y + -0.3333333333y2

Reorder the terms:
13 + x2 + -8y + 0.3333333333y2 = -13 + 8y + -0.3333333333y2 + 13 + -8y + 0.3333333333y2

Reorder the terms:
13 + x2 + -8y + 0.3333333333y2 = -13 + 13 + 8y + -8y + -0.3333333333y2 + 0.3333333333y2

Combine like terms: -13 + 13 = 0
13 + x2 + -8y + 0.3333333333y2 = 0 + 8y + -8y + -0.3333333333y2 + 0.3333333333y2
13 + x2 + -8y + 0.3333333333y2 = 8y + -8y + -0.3333333333y2 + 0.3333333333y2

Combine like terms: 8y + -8y = 0
13 + x2 + -8y + 0.3333333333y2 = 0 + -0.3333333333y2 + 0.3333333333y2
13 + x2 + -8y + 0.3333333333y2 = -0.3333333333y2 + 0.3333333333y2

Combine like terms: -0.3333333333y2 + 0.3333333333y2 = 0.0000000000
13 + x2 + -8y + 0.3333333333y2 = 0.0000000000

The solution to this equation could not be determined.

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