2x^2+2y^2-12y-32=0

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Solution for 2x^2+2y^2-12y-32=0 equation: 


Simplifying
2x2 + 2y2 + -12y + -32 = 0

Reorder the terms:
-32 + 2x2 + -12y + 2y2 = 0

Solving
-32 + 2x2 + -12y + 2y2 = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 2x2 + -12y + 32 + 2y2 = 0 + 32

Reorder the terms:
-32 + 32 + 2x2 + -12y + 2y2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 2x2 + -12y + 2y2 = 0 + 32
2x2 + -12y + 2y2 = 0 + 32

Combine like terms: 0 + 32 = 32
2x2 + -12y + 2y2 = 32

Add '12y' to each side of the equation.
2x2 + -12y + 12y + 2y2 = 32 + 12y

Combine like terms: -12y + 12y = 0
2x2 + 0 + 2y2 = 32 + 12y
2x2 + 2y2 = 32 + 12y

Add '-2y2' to each side of the equation.
2x2 + 2y2 + -2y2 = 32 + 12y + -2y2

Combine like terms: 2y2 + -2y2 = 0
2x2 + 0 = 32 + 12y + -2y2
2x2 = 32 + 12y + -2y2

Divide each side by '2'.
x2 = 16 + 6y + -1y2

Simplifying
x2 = 16 + 6y + -1y2

Reorder the terms:
-16 + x2 + -6y + y2 = 16 + 6y + -1y2 + -16 + -6y + y2

Reorder the terms:
-16 + x2 + -6y + y2 = 16 + -16 + 6y + -6y + -1y2 + y2

Combine like terms: 16 + -16 = 0
-16 + x2 + -6y + y2 = 0 + 6y + -6y + -1y2 + y2
-16 + x2 + -6y + y2 = 6y + -6y + -1y2 + y2

Combine like terms: 6y + -6y = 0
-16 + x2 + -6y + y2 = 0 + -1y2 + y2
-16 + x2 + -6y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-16 + x2 + -6y + y2 = 0

The solution to this equation could not be determined.

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