0=30X+2XY-.5X^2-.5Y^2

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Solution for 0=30X+2XY-.5X^2-.5Y^2 equation: 


Simplifying
0 = 30X + 2XY + -0.5X2 + -0.5Y2

Solving
0 = 30X + 2XY + -0.5X2 + -0.5Y2

Solving for variable 'X'.
Remove the zero:
-30X + -2XY + 0.5X2 + 0.5Y2 = 30X + 2XY + -0.5X2 + -0.5Y2 + -30X + -2XY + 0.5X2 + 0.5Y2

Reorder the terms:
-30X + -2XY + 0.5X2 + 0.5Y2 = 30X + -30X + 2XY + -2XY + -0.5X2 + 0.5X2 + -0.5Y2 + 0.5Y2

Combine like terms: 30X + -30X = 0
-30X + -2XY + 0.5X2 + 0.5Y2 = 0 + 2XY + -2XY + -0.5X2 + 0.5X2 + -0.5Y2 + 0.5Y2
-30X + -2XY + 0.5X2 + 0.5Y2 = 2XY + -2XY + -0.5X2 + 0.5X2 + -0.5Y2 + 0.5Y2

Combine like terms: 2XY + -2XY = 0
-30X + -2XY + 0.5X2 + 0.5Y2 = 0 + -0.5X2 + 0.5X2 + -0.5Y2 + 0.5Y2
-30X + -2XY + 0.5X2 + 0.5Y2 = -0.5X2 + 0.5X2 + -0.5Y2 + 0.5Y2

Combine like terms: -0.5X2 + 0.5X2 = 0.0
-30X + -2XY + 0.5X2 + 0.5Y2 = 0.0 + -0.5Y2 + 0.5Y2
-30X + -2XY + 0.5X2 + 0.5Y2 = -0.5Y2 + 0.5Y2

Combine like terms: -0.5Y2 + 0.5Y2 = 0.0
-30X + -2XY + 0.5X2 + 0.5Y2 = 0.0

The solution to this equation could not be determined.

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