x^2+9y^2+2500=6xy+100(x+y)

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Solution for x^2+9y^2+2500=6xy+100(x+y) equation: 


Simplifying
x2 + 9y2 + 2500 = 6xy + 100(x + y)

Reorder the terms:
2500 + x2 + 9y2 = 6xy + 100(x + y)
2500 + x2 + 9y2 = 6xy + (x * 100 + y * 100)
2500 + x2 + 9y2 = 6xy + (100x + 100y)

Reorder the terms:
2500 + x2 + 9y2 = 100x + 6xy + 100y

Solving
2500 + x2 + 9y2 = 100x + 6xy + 100y

Solving for variable 'x'.

Reorder the terms:
2500 + -100x + -6xy + x2 + -100y + 9y2 = 100x + 6xy + 100y + -100x + -6xy + -100y

Reorder the terms:
2500 + -100x + -6xy + x2 + -100y + 9y2 = 100x + -100x + 6xy + -6xy + 100y + -100y

Combine like terms: 100x + -100x = 0
2500 + -100x + -6xy + x2 + -100y + 9y2 = 0 + 6xy + -6xy + 100y + -100y
2500 + -100x + -6xy + x2 + -100y + 9y2 = 6xy + -6xy + 100y + -100y

Combine like terms: 6xy + -6xy = 0
2500 + -100x + -6xy + x2 + -100y + 9y2 = 0 + 100y + -100y
2500 + -100x + -6xy + x2 + -100y + 9y2 = 100y + -100y

Combine like terms: 100y + -100y = 0
2500 + -100x + -6xy + x2 + -100y + 9y2 = 0

The solution to this equation could not be determined.

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