x^2y+xy+2y=0

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


Simplifying
x2y + xy + 2y = 0

Reorder the terms:
xy + x2y + 2y = 0

Solving
xy + x2y + 2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(x + x2 + 2) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(x + x2 + 2)' equal to zero and attempt to solve: Simplifying x + x2 + 2 = 0 Reorder the terms: 2 + x + x2 = 0 Solving 2 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x + x2 = 0 + -2 x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x + x2 = -2 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -2 + 0.25 Reorder the terms: 0.25 + x + x2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + x + x2 = -1.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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