y^2+xy-5x-10y+25=0

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Solution for y^2+xy-5x-10y+25=0 equation:


Simplifying
y2 + xy + -5x + -10y + 25 = 0

Reorder the terms:
25 + -5x + xy + -10y + y2 = 0

Solving
25 + -5x + xy + -10y + y2 = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -5x + xy + -10y + -25 + y2 = 0 + -25

Reorder the terms:
25 + -25 + -5x + xy + -10y + y2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -5x + xy + -10y + y2 = 0 + -25
-5x + xy + -10y + y2 = 0 + -25

Combine like terms: 0 + -25 = -25
-5x + xy + -10y + y2 = -25

Add '10y' to each side of the equation.
-5x + xy + -10y + 10y + y2 = -25 + 10y

Combine like terms: -10y + 10y = 0
-5x + xy + 0 + y2 = -25 + 10y
-5x + xy + y2 = -25 + 10y

Add '-1y2' to each side of the equation.
-5x + xy + y2 + -1y2 = -25 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
-5x + xy + 0 = -25 + 10y + -1y2
-5x + xy = -25 + 10y + -1y2

Reorder the terms:
25 + -5x + xy + -10y + y2 = -25 + 10y + -1y2 + 25 + -10y + y2

Reorder the terms:
25 + -5x + xy + -10y + y2 = -25 + 25 + 10y + -10y + -1y2 + y2

Combine like terms: -25 + 25 = 0
25 + -5x + xy + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
25 + -5x + xy + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
25 + -5x + xy + -10y + y2 = 0 + -1y2 + y2
25 + -5x + xy + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
25 + -5x + xy + -10y + y2 = 0

The solution to this equation could not be determined.

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