4x^2y-y(x+y)(x+1)=0

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Solution for 4x^2y-y(x+y)(x+1)=0 equation: 


Simplifying
4x2y + -1y(x + y)(x + 1) = 0

Reorder the terms:
4x2y + -1y(x + y)(1 + x) = 0

Multiply (x + y) * (1 + x)
4x2y + -1y(x(1 + x) + y(1 + x)) = 0
4x2y + -1y((1 * x + x * x) + y(1 + x)) = 0
4x2y + -1y((1x + x2) + y(1 + x)) = 0
4x2y + -1y(1x + x2 + (1 * y + x * y)) = 0

Reorder the terms:
4x2y + -1y(1x + x2 + (xy + 1y)) = 0
4x2y + -1y(1x + x2 + (xy + 1y)) = 0

Reorder the terms:
4x2y + -1y(1x + xy + x2 + 1y) = 0
4x2y + -1y(1x + xy + x2 + 1y) = 0
4x2y + (1x * -1y + xy * -1y + x2 * -1y + 1y * -1y) = 0
4x2y + (-1xy + -1xy2 + -1x2y + -1y2) = 0

Reorder the terms:
-1xy + -1xy2 + 4x2y + -1x2y + -1y2 = 0

Combine like terms: 4x2y + -1x2y = 3x2y
-1xy + -1xy2 + 3x2y + -1y2 = 0

Solving
-1xy + -1xy2 + 3x2y + -1y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1x + -1xy + 3x2 + -1y) = 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 '(-1x + -1xy + 3x2 + -1y)' equal to zero and attempt to solve:

Simplifying
-1x + -1xy + 3x2 + -1y = 0

Solving
-1x + -1xy + 3x2 + -1y = 0

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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