2x^2+y^2-12+4y-10=0

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Solution for 2x^2+y^2-12+4y-10=0 equation: 


Simplifying
2x2 + y2 + -12 + 4y + -10 = 0

Reorder the terms:
-12 + -10 + 2x2 + 4y + y2 = 0

Combine like terms: -12 + -10 = -22
-22 + 2x2 + 4y + y2 = 0

Solving
-22 + 2x2 + 4y + y2 = 0

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 2x2 + 4y + 22 + y2 = 0 + 22

Reorder the terms:
-22 + 22 + 2x2 + 4y + y2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 2x2 + 4y + y2 = 0 + 22
2x2 + 4y + y2 = 0 + 22

Combine like terms: 0 + 22 = 22
2x2 + 4y + y2 = 22

Add '-4y' to each side of the equation.
2x2 + 4y + -4y + y2 = 22 + -4y

Combine like terms: 4y + -4y = 0
2x2 + 0 + y2 = 22 + -4y
2x2 + y2 = 22 + -4y

Add '-1y2' to each side of the equation.
2x2 + y2 + -1y2 = 22 + -4y + -1y2

Combine like terms: y2 + -1y2 = 0
2x2 + 0 = 22 + -4y + -1y2
2x2 = 22 + -4y + -1y2

Divide each side by '2'.
x2 = 11 + -2y + -0.5y2

Simplifying
x2 = 11 + -2y + -0.5y2

Reorder the terms:
-11 + x2 + 2y + 0.5y2 = 11 + -2y + -0.5y2 + -11 + 2y + 0.5y2

Reorder the terms:
-11 + x2 + 2y + 0.5y2 = 11 + -11 + -2y + 2y + -0.5y2 + 0.5y2

Combine like terms: 11 + -11 = 0
-11 + x2 + 2y + 0.5y2 = 0 + -2y + 2y + -0.5y2 + 0.5y2
-11 + x2 + 2y + 0.5y2 = -2y + 2y + -0.5y2 + 0.5y2

Combine like terms: -2y + 2y = 0
-11 + x2 + 2y + 0.5y2 = 0 + -0.5y2 + 0.5y2
-11 + x2 + 2y + 0.5y2 = -0.5y2 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
-11 + x2 + 2y + 0.5y2 = 0.0

The solution to this equation could not be determined.

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