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

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


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

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

Solving
-10 + 2x2 + -4y + y2 = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 2x2 + -4y + 10 + y2 = 0 + 10

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

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

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

Add '4y' to each side of the equation.
2x2 + -4y + 4y + y2 = 10 + 4y

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

Add '-1y2' to each side of the equation.
2x2 + y2 + -1y2 = 10 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
2x2 + 0 = 10 + 4y + -1y2
2x2 = 10 + 4y + -1y2

Divide each side by '2'.
x2 = 5 + 2y + -0.5y2

Simplifying
x2 = 5 + 2y + -0.5y2

Reorder the terms:
-5 + x2 + -2y + 0.5y2 = 5 + 2y + -0.5y2 + -5 + -2y + 0.5y2

Reorder the terms:
-5 + x2 + -2y + 0.5y2 = 5 + -5 + 2y + -2y + -0.5y2 + 0.5y2

Combine like terms: 5 + -5 = 0
-5 + x2 + -2y + 0.5y2 = 0 + 2y + -2y + -0.5y2 + 0.5y2
-5 + x2 + -2y + 0.5y2 = 2y + -2y + -0.5y2 + 0.5y2

Combine like terms: 2y + -2y = 0
-5 + x2 + -2y + 0.5y2 = 0 + -0.5y2 + 0.5y2
-5 + x2 + -2y + 0.5y2 = -0.5y2 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
-5 + x2 + -2y + 0.5y2 = 0.0

The solution to this equation could not be determined.

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