2X^2+y^2-10x+6y-15=0

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Solution for 2X^2+y^2-10x+6y-15=0 equation: 


Simplifying
2X2 + y2 + -10x + 6y + -15 = 0

Reorder the terms:
-15 + 2X2 + -10x + 6y + y2 = 0

Solving
-15 + 2X2 + -10x + 6y + y2 = 0

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + 2X2 + -10x + 6y + 15 + y2 = 0 + 15

Reorder the terms:
-15 + 15 + 2X2 + -10x + 6y + y2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2X2 + -10x + 6y + y2 = 0 + 15
2X2 + -10x + 6y + y2 = 0 + 15

Combine like terms: 0 + 15 = 15
2X2 + -10x + 6y + y2 = 15

Add '10x' to each side of the equation.
2X2 + -10x + 6y + 10x + y2 = 15 + 10x

Reorder the terms:
2X2 + -10x + 10x + 6y + y2 = 15 + 10x

Combine like terms: -10x + 10x = 0
2X2 + 0 + 6y + y2 = 15 + 10x
2X2 + 6y + y2 = 15 + 10x

Add '-6y' to each side of the equation.
2X2 + 6y + -6y + y2 = 15 + 10x + -6y

Combine like terms: 6y + -6y = 0
2X2 + 0 + y2 = 15 + 10x + -6y
2X2 + y2 = 15 + 10x + -6y

Add '-1y2' to each side of the equation.
2X2 + y2 + -1y2 = 15 + 10x + -6y + -1y2

Combine like terms: y2 + -1y2 = 0
2X2 + 0 = 15 + 10x + -6y + -1y2
2X2 = 15 + 10x + -6y + -1y2

Divide each side by '2'.
X2 = 7.5 + 5x + -3y + -0.5y2

Simplifying
X2 = 7.5 + 5x + -3y + -0.5y2

Reorder the terms:
-7.5 + X2 + -5x + 3y + 0.5y2 = 7.5 + 5x + -3y + -0.5y2 + -7.5 + -5x + 3y + 0.5y2

Reorder the terms:
-7.5 + X2 + -5x + 3y + 0.5y2 = 7.5 + -7.5 + 5x + -5x + -3y + 3y + -0.5y2 + 0.5y2

Combine like terms: 7.5 + -7.5 = 0.0
-7.5 + X2 + -5x + 3y + 0.5y2 = 0.0 + 5x + -5x + -3y + 3y + -0.5y2 + 0.5y2
-7.5 + X2 + -5x + 3y + 0.5y2 = 5x + -5x + -3y + 3y + -0.5y2 + 0.5y2

Combine like terms: 5x + -5x = 0
-7.5 + X2 + -5x + 3y + 0.5y2 = 0 + -3y + 3y + -0.5y2 + 0.5y2
-7.5 + X2 + -5x + 3y + 0.5y2 = -3y + 3y + -0.5y2 + 0.5y2

Combine like terms: -3y + 3y = 0
-7.5 + X2 + -5x + 3y + 0.5y2 = 0 + -0.5y2 + 0.5y2
-7.5 + X2 + -5x + 3y + 0.5y2 = -0.5y2 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
-7.5 + X2 + -5x + 3y + 0.5y2 = 0.0

The solution to this equation could not be determined.

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