2x^2+2y^2-12y+8y-24=0

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Solution for 2x^2+2y^2-12y+8y-24=0 equation: 


Simplifying
2x2 + 2y2 + -12y + 8y + -24 = 0

Reorder the terms:
-24 + 2x2 + -12y + 8y + 2y2 = 0

Combine like terms: -12y + 8y = -4y
-24 + 2x2 + -4y + 2y2 = 0

Solving
-24 + 2x2 + -4y + 2y2 = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 2x2 + -4y + 24 + 2y2 = 0 + 24

Reorder the terms:
-24 + 24 + 2x2 + -4y + 2y2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 2x2 + -4y + 2y2 = 0 + 24
2x2 + -4y + 2y2 = 0 + 24

Combine like terms: 0 + 24 = 24
2x2 + -4y + 2y2 = 24

Add '4y' to each side of the equation.
2x2 + -4y + 4y + 2y2 = 24 + 4y

Combine like terms: -4y + 4y = 0
2x2 + 0 + 2y2 = 24 + 4y
2x2 + 2y2 = 24 + 4y

Add '-2y2' to each side of the equation.
2x2 + 2y2 + -2y2 = 24 + 4y + -2y2

Combine like terms: 2y2 + -2y2 = 0
2x2 + 0 = 24 + 4y + -2y2
2x2 = 24 + 4y + -2y2

Divide each side by '2'.
x2 = 12 + 2y + -1y2

Simplifying
x2 = 12 + 2y + -1y2

Reorder the terms:
-12 + x2 + -2y + y2 = 12 + 2y + -1y2 + -12 + -2y + y2

Reorder the terms:
-12 + x2 + -2y + y2 = 12 + -12 + 2y + -2y + -1y2 + y2

Combine like terms: 12 + -12 = 0
-12 + x2 + -2y + y2 = 0 + 2y + -2y + -1y2 + y2
-12 + x2 + -2y + y2 = 2y + -2y + -1y2 + y2

Combine like terms: 2y + -2y = 0
-12 + x2 + -2y + y2 = 0 + -1y2 + y2
-12 + x2 + -2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-12 + x2 + -2y + y2 = 0

The solution to this equation could not be determined.

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