2y^2+x^2-4y-18=0

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Solution for 2y^2+x^2-4y-18=0 equation:


Simplifying
2y2 + x2 + -4y + -18 = 0

Reorder the terms:
-18 + x2 + -4y + 2y2 = 0

Solving
-18 + x2 + -4y + 2y2 = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + x2 + -4y + 18 + 2y2 = 0 + 18

Reorder the terms:
-18 + 18 + x2 + -4y + 2y2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + x2 + -4y + 2y2 = 0 + 18
x2 + -4y + 2y2 = 0 + 18

Combine like terms: 0 + 18 = 18
x2 + -4y + 2y2 = 18

Add '4y' to each side of the equation.
x2 + -4y + 4y + 2y2 = 18 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 + 2y2 = 18 + 4y
x2 + 2y2 = 18 + 4y

Add '-2y2' to each side of the equation.
x2 + 2y2 + -2y2 = 18 + 4y + -2y2

Combine like terms: 2y2 + -2y2 = 0
x2 + 0 = 18 + 4y + -2y2
x2 = 18 + 4y + -2y2

Simplifying
x2 = 18 + 4y + -2y2

Reorder the terms:
-18 + x2 + -4y + 2y2 = 18 + 4y + -2y2 + -18 + -4y + 2y2

Reorder the terms:
-18 + x2 + -4y + 2y2 = 18 + -18 + 4y + -4y + -2y2 + 2y2

Combine like terms: 18 + -18 = 0
-18 + x2 + -4y + 2y2 = 0 + 4y + -4y + -2y2 + 2y2
-18 + x2 + -4y + 2y2 = 4y + -4y + -2y2 + 2y2

Combine like terms: 4y + -4y = 0
-18 + x2 + -4y + 2y2 = 0 + -2y2 + 2y2
-18 + x2 + -4y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-18 + x2 + -4y + 2y2 = 0

The solution to this equation could not be determined.

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