(Y-4)(y^2-5y-2)=

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Solution for (Y-4)(y^2-5y-2)= equation: 


Simplifying
(Y + -4)(y2 + -5y + -2) = 0

Reorder the terms:
(-4 + Y)(y2 + -5y + -2) = 0

Reorder the terms:
(-4 + Y)(-2 + -5y + y2) = 0

Multiply (-4 + Y) * (-2 + -5y + y2)
(-4(-2 + -5y + y2) + Y(-2 + -5y + y2)) = 0
((-2 * -4 + -5y * -4 + y2 * -4) + Y(-2 + -5y + y2)) = 0
((8 + 20y + -4y2) + Y(-2 + -5y + y2)) = 0
(8 + 20y + -4y2 + (-2 * Y + -5y * Y + y2 * Y)) = 0
(8 + 20y + -4y2 + (-2Y + -5yY + y2Y)) = 0

Reorder the terms:
(8 + -2Y + 20y + -5yY + -4y2 + y2Y) = 0
(8 + -2Y + 20y + -5yY + -4y2 + y2Y) = 0

Solving
8 + -2Y + 20y + -5yY + -4y2 + y2Y = 0

Solving for variable 'Y'.

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

Add '-8' to each side of the equation.
8 + -2Y + 20y + -5yY + -4y2 + -8 + y2Y = 0 + -8

Reorder the terms:
8 + -8 + -2Y + 20y + -5yY + -4y2 + y2Y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2Y + 20y + -5yY + -4y2 + y2Y = 0 + -8
-2Y + 20y + -5yY + -4y2 + y2Y = 0 + -8

Combine like terms: 0 + -8 = -8
-2Y + 20y + -5yY + -4y2 + y2Y = -8

Add '-20y' to each side of the equation.
-2Y + 20y + -5yY + -4y2 + -20y + y2Y = -8 + -20y

Reorder the terms:
-2Y + 20y + -20y + -5yY + -4y2 + y2Y = -8 + -20y

Combine like terms: 20y + -20y = 0
-2Y + 0 + -5yY + -4y2 + y2Y = -8 + -20y
-2Y + -5yY + -4y2 + y2Y = -8 + -20y

Add '4y2' to each side of the equation.
-2Y + -5yY + -4y2 + 4y2 + y2Y = -8 + -20y + 4y2

Combine like terms: -4y2 + 4y2 = 0
-2Y + -5yY + 0 + y2Y = -8 + -20y + 4y2
-2Y + -5yY + y2Y = -8 + -20y + 4y2

Reorder the terms:
8 + -2Y + 20y + -5yY + -4y2 + y2Y = -8 + -20y + 4y2 + 8 + 20y + -4y2

Reorder the terms:
8 + -2Y + 20y + -5yY + -4y2 + y2Y = -8 + 8 + -20y + 20y + 4y2 + -4y2

Combine like terms: -8 + 8 = 0
8 + -2Y + 20y + -5yY + -4y2 + y2Y = 0 + -20y + 20y + 4y2 + -4y2
8 + -2Y + 20y + -5yY + -4y2 + y2Y = -20y + 20y + 4y2 + -4y2

Combine like terms: -20y + 20y = 0
8 + -2Y + 20y + -5yY + -4y2 + y2Y = 0 + 4y2 + -4y2
8 + -2Y + 20y + -5yY + -4y2 + y2Y = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
8 + -2Y + 20y + -5yY + -4y2 + y2Y = 0

The solution to this equation could not be determined.

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