Y(y-1)(y+2)=0

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Solution for Y(y-1)(y+2)=0 equation: 


Simplifying
Y(y + -1)(y + 2) = 0

Reorder the terms:
Y(-1 + y)(y + 2) = 0

Reorder the terms:
Y(-1 + y)(2 + y) = 0

Multiply (-1 + y) * (2 + y)
Y(-1(2 + y) + y(2 + y)) = 0
Y((2 * -1 + y * -1) + y(2 + y)) = 0
Y((-2 + -1y) + y(2 + y)) = 0
Y(-2 + -1y + (2 * y + y * y)) = 0
Y(-2 + -1y + (2y + y2)) = 0

Combine like terms: -1y + 2y = 1y
Y(-2 + 1y + y2) = 0
(-2 * Y + 1y * Y + y2 * Y) = 0
(-2Y + 1yY + y2Y) = 0

Solving
-2Y + 1yY + y2Y = 0

Solving for variable 'Y'.

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

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(-2 + y + y2) = 0

Factor a trinomial.
Y((-2 + -1y)(1 + -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 Y to the left, all other terms to the right.

Simplifying
Y = 0

Subproblem 2
Set the factor '(-2 + -1y)' equal to zero and attempt to solve:

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Add 'y' to each side of the equation.
-1y + y = 2 + y

Combine like terms: -1y + y = 0
0 = 2 + y

Simplifying
0 = 2 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

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

Combine like terms: -1y + y = 0
0 = -1 + y

Simplifying
0 = -1 + y

The solution to this equation could not be determined.

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

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