y^2+2xy+x-3=0

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


Simplifying
y2 + 2xy + x + -3 = 0

Reorder the terms:
-3 + x + 2xy + y2 = 0

Solving
-3 + x + 2xy + y2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + x + 2xy + 3 + y2 = 0 + 3

Reorder the terms:
-3 + 3 + x + 2xy + y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x + 2xy + y2 = 0 + 3
x + 2xy + y2 = 0 + 3

Combine like terms: 0 + 3 = 3
x + 2xy + y2 = 3

Add '-1y2' to each side of the equation.
x + 2xy + y2 + -1y2 = 3 + -1y2

Combine like terms: y2 + -1y2 = 0
x + 2xy + 0 = 3 + -1y2
x + 2xy = 3 + -1y2

Reorder the terms:
-3 + x + 2xy + y2 = 3 + -1y2 + -3 + y2

Reorder the terms:
-3 + x + 2xy + y2 = 3 + -3 + -1y2 + y2

Combine like terms: 3 + -3 = 0
-3 + x + 2xy + y2 = 0 + -1y2 + y2
-3 + x + 2xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-3 + x + 2xy + y2 = 0

The solution to this equation could not be determined.

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