3x(y-1)-x^2(1-y)=

Solution for 3x(y-1)-x^2(1-y)= equation:

Simplifying
3x(y + -1) + -1x2(1 + -1y) = 0

Reorder the terms:
3x(-1 + y) + -1x2(1 + -1y) = 0
(-1 * 3x + y * 3x) + -1x2(1 + -1y) = 0
(-3x + 3xy) + -1x2(1 + -1y) = 0
-3x + 3xy + (1 * -1x2 + -1y * -1x2) = 0
-3x + 3xy + (-1x2 + 1x2y) = 0

Solving
-3x + 3xy + -1x2 + 1x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 3y + -1x + xy) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-3 + 3y + -1x + xy)' equal to zero and attempt to solve:

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

Reorder the terms:
-3 + -1x + xy + 3y = 0

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

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

Add '3' to each side of the equation.
-3 + -1x + xy + 3 + 3y = 0 + 3

Reorder the terms:
-3 + 3 + -1x + xy + 3y = 0 + 3

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

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}