Y(y-4)(y+3)=0

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Solution for Y(y-4)(y+3)=0 equation: 


Simplifying
Y(y + -4)(y + 3) = 0

Reorder the terms:
Y(-4 + y)(y + 3) = 0

Reorder the terms:
Y(-4 + y)(3 + y) = 0

Multiply (-4 + y) * (3 + y)
Y(-4(3 + y) + y(3 + y)) = 0
Y((3 * -4 + y * -4) + y(3 + y)) = 0
Y((-12 + -4y) + y(3 + y)) = 0
Y(-12 + -4y + (3 * y + y * y)) = 0
Y(-12 + -4y + (3y + y2)) = 0

Combine like terms: -4y + 3y = -1y
Y(-12 + -1y + y2) = 0
(-12 * Y + -1y * Y + y2 * Y) = 0
(-12Y + -1yY + y2Y) = 0

Solving
-12Y + -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(-12 + -1y + y2) = 0

Factor a trinomial.
Y((-3 + -1y)(4 + -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 '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

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

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

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

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

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

Simplifying
0 = 3 + 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 '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Add 'y' to each side of the equation.
-1y + y = -4 + y

Combine like terms: -1y + y = 0
0 = -4 + y

Simplifying
0 = -4 + 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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