(Y-2)(y^2+3y+2)=0

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Solution for (Y-2)(y^2+3y+2)=0 equation: 


Simplifying
(Y + -2)(y2 + 3y + 2) = 0

Reorder the terms:
(-2 + Y)(y2 + 3y + 2) = 0

Reorder the terms:
(-2 + Y)(2 + 3y + y2) = 0

Multiply (-2 + Y) * (2 + 3y + y2)
(-2(2 + 3y + y2) + Y(2 + 3y + y2)) = 0
((2 * -2 + 3y * -2 + y2 * -2) + Y(2 + 3y + y2)) = 0
((-4 + -6y + -2y2) + Y(2 + 3y + y2)) = 0
(-4 + -6y + -2y2 + (2 * Y + 3y * Y + y2 * Y)) = 0
(-4 + -6y + -2y2 + (2Y + 3yY + y2Y)) = 0

Reorder the terms:
(-4 + 2Y + -6y + 3yY + -2y2 + y2Y) = 0
(-4 + 2Y + -6y + 3yY + -2y2 + y2Y) = 0

Solving
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 0

Solving for variable 'Y'.

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

Add '4' to each side of the equation.
-4 + 2Y + -6y + 3yY + -2y2 + 4 + y2Y = 0 + 4

Reorder the terms:
-4 + 4 + 2Y + -6y + 3yY + -2y2 + y2Y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2Y + -6y + 3yY + -2y2 + y2Y = 0 + 4
2Y + -6y + 3yY + -2y2 + y2Y = 0 + 4

Combine like terms: 0 + 4 = 4
2Y + -6y + 3yY + -2y2 + y2Y = 4

Add '6y' to each side of the equation.
2Y + -6y + 3yY + -2y2 + 6y + y2Y = 4 + 6y

Reorder the terms:
2Y + -6y + 6y + 3yY + -2y2 + y2Y = 4 + 6y

Combine like terms: -6y + 6y = 0
2Y + 0 + 3yY + -2y2 + y2Y = 4 + 6y
2Y + 3yY + -2y2 + y2Y = 4 + 6y

Add '2y2' to each side of the equation.
2Y + 3yY + -2y2 + 2y2 + y2Y = 4 + 6y + 2y2

Combine like terms: -2y2 + 2y2 = 0
2Y + 3yY + 0 + y2Y = 4 + 6y + 2y2
2Y + 3yY + y2Y = 4 + 6y + 2y2

Reorder the terms:
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 4 + 6y + 2y2 + -4 + -6y + -2y2

Reorder the terms:
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 4 + -4 + 6y + -6y + 2y2 + -2y2

Combine like terms: 4 + -4 = 0
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 0 + 6y + -6y + 2y2 + -2y2
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 6y + -6y + 2y2 + -2y2

Combine like terms: 6y + -6y = 0
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 0 + 2y2 + -2y2
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-4 + 2Y + -6y + 3yY + -2y2 + y2Y = 0

The solution to this equation could not be determined.

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