(Y+2)(y^2-3y-10)=0

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Solution for (Y+2)(y^2-3y-10)=0 equation:


Simplifying
(Y + 2)(y2 + -3y + -10) = 0

Reorder the terms:
(2 + Y)(y2 + -3y + -10) = 0

Reorder the terms:
(2 + Y)(-10 + -3y + y2) = 0

Multiply (2 + Y) * (-10 + -3y + y2)
(2(-10 + -3y + y2) + Y(-10 + -3y + y2)) = 0
((-10 * 2 + -3y * 2 + y2 * 2) + Y(-10 + -3y + y2)) = 0
((-20 + -6y + 2y2) + Y(-10 + -3y + y2)) = 0
(-20 + -6y + 2y2 + (-10 * Y + -3y * Y + y2 * Y)) = 0
(-20 + -6y + 2y2 + (-10Y + -3yY + y2Y)) = 0

Reorder the terms:
(-20 + -10Y + -6y + -3yY + 2y2 + y2Y) = 0
(-20 + -10Y + -6y + -3yY + 2y2 + y2Y) = 0

Solving
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = 0

Solving for variable 'Y'.

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

Add '20' to each side of the equation.
-20 + -10Y + -6y + -3yY + 2y2 + 20 + y2Y = 0 + 20

Reorder the terms:
-20 + 20 + -10Y + -6y + -3yY + 2y2 + y2Y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -10Y + -6y + -3yY + 2y2 + y2Y = 0 + 20
-10Y + -6y + -3yY + 2y2 + y2Y = 0 + 20

Combine like terms: 0 + 20 = 20
-10Y + -6y + -3yY + 2y2 + y2Y = 20

Add '6y' to each side of the equation.
-10Y + -6y + -3yY + 2y2 + 6y + y2Y = 20 + 6y

Reorder the terms:
-10Y + -6y + 6y + -3yY + 2y2 + y2Y = 20 + 6y

Combine like terms: -6y + 6y = 0
-10Y + 0 + -3yY + 2y2 + y2Y = 20 + 6y
-10Y + -3yY + 2y2 + y2Y = 20 + 6y

Add '-2y2' to each side of the equation.
-10Y + -3yY + 2y2 + -2y2 + y2Y = 20 + 6y + -2y2

Combine like terms: 2y2 + -2y2 = 0
-10Y + -3yY + 0 + y2Y = 20 + 6y + -2y2
-10Y + -3yY + y2Y = 20 + 6y + -2y2

Reorder the terms:
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = 20 + 6y + -2y2 + -20 + -6y + 2y2

Reorder the terms:
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = 20 + -20 + 6y + -6y + -2y2 + 2y2

Combine like terms: 20 + -20 = 0
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = 0 + 6y + -6y + -2y2 + 2y2
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = 6y + -6y + -2y2 + 2y2

Combine like terms: 6y + -6y = 0
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = 0 + -2y2 + 2y2
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-20 + -10Y + -6y + -3yY + 2y2 + y2Y = 0

The solution to this equation could not be determined.

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