y^2+3y+yx+3x=0

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Solution for y^2+3y+yx+3x=0 equation: 


Simplifying
y2 + 3y + yx + 3x = 0

Reorder the terms:
3x + xy + 3y + y2 = 0

Solving
3x + xy + 3y + y2 = 0

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
3x + xy + 3y + -3y + y2 = 0 + -3y

Combine like terms: 3y + -3y = 0
3x + xy + 0 + y2 = 0 + -3y
3x + xy + y2 = 0 + -3y
Remove the zero:
3x + xy + y2 = -3y

Add '-1y2' to each side of the equation.
3x + xy + y2 + -1y2 = -3y + -1y2

Combine like terms: y2 + -1y2 = 0
3x + xy + 0 = -3y + -1y2
3x + xy = -3y + -1y2

Reorder the terms:
3x + xy + 3y + y2 = -3y + 3y + -1y2 + y2

Combine like terms: -3y + 3y = 0
3x + xy + 3y + y2 = 0 + -1y2 + y2
3x + xy + 3y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
3x + xy + 3y + y2 = 0

The solution to this equation could not be determined.

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