(2x^2)+(2y^2)-8x+24y+10=0

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Solution for (2x^2)+(2y^2)-8x+24y+10=0 equation: 


Simplifying
(2x2) + (2y2) + -8x + 24y + 10 = 0

Reorder the terms:
10 + -8x + (2x2) + 24y + (2y2) = 0

Solving
10 + -8x + (2x2) + 24y + (2y2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4x + x2 + 12y + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -4x + x2 + 12y + y2)' equal to zero and attempt to solve:

Simplifying
5 + -4x + x2 + 12y + y2 = 0

Solving
5 + -4x + x2 + 12y + y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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