(3+2y)(5-Y-5y^2)=

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Solution for (3+2y)(5-Y-5y^2)= equation: 


Simplifying
(3 + 2y)(5 + -1Y + -5y2) = 0

Multiply (3 + 2y) * (5 + -1Y + -5y2)
(3(5 + -1Y + -5y2) + 2y * (5 + -1Y + -5y2)) = 0
((5 * 3 + -1Y * 3 + -5y2 * 3) + 2y * (5 + -1Y + -5y2)) = 0
((15 + -3Y + -15y2) + 2y * (5 + -1Y + -5y2)) = 0
(15 + -3Y + -15y2 + (5 * 2y + -1Y * 2y + -5y2 * 2y)) = 0
(15 + -3Y + -15y2 + (10y + -2yY + -10y3)) = 0

Reorder the terms:
(15 + -3Y + 10y + -2yY + -15y2 + -10y3) = 0
(15 + -3Y + 10y + -2yY + -15y2 + -10y3) = 0

Solving
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 0

Solving for variable 'Y'.

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

Add '-15' to each side of the equation.
15 + -3Y + 10y + -2yY + -15y2 + -15 + -10y3 = 0 + -15

Reorder the terms:
15 + -15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3Y + 10y + -2yY + -15y2 + -10y3 = 0 + -15
-3Y + 10y + -2yY + -15y2 + -10y3 = 0 + -15

Combine like terms: 0 + -15 = -15
-3Y + 10y + -2yY + -15y2 + -10y3 = -15

Add '-10y' to each side of the equation.
-3Y + 10y + -2yY + -15y2 + -10y + -10y3 = -15 + -10y

Reorder the terms:
-3Y + 10y + -10y + -2yY + -15y2 + -10y3 = -15 + -10y

Combine like terms: 10y + -10y = 0
-3Y + 0 + -2yY + -15y2 + -10y3 = -15 + -10y
-3Y + -2yY + -15y2 + -10y3 = -15 + -10y

Add '15y2' to each side of the equation.
-3Y + -2yY + -15y2 + 15y2 + -10y3 = -15 + -10y + 15y2

Combine like terms: -15y2 + 15y2 = 0
-3Y + -2yY + 0 + -10y3 = -15 + -10y + 15y2
-3Y + -2yY + -10y3 = -15 + -10y + 15y2

Add '10y3' to each side of the equation.
-3Y + -2yY + -10y3 + 10y3 = -15 + -10y + 15y2 + 10y3

Combine like terms: -10y3 + 10y3 = 0
-3Y + -2yY + 0 = -15 + -10y + 15y2 + 10y3
-3Y + -2yY = -15 + -10y + 15y2 + 10y3

Reorder the terms:
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = -15 + -10y + 15y2 + 10y3 + 15 + 10y + -15y2 + -10y3

Reorder the terms:
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = -15 + 15 + -10y + 10y + 15y2 + -15y2 + 10y3 + -10y3

Combine like terms: -15 + 15 = 0
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 0 + -10y + 10y + 15y2 + -15y2 + 10y3 + -10y3
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = -10y + 10y + 15y2 + -15y2 + 10y3 + -10y3

Combine like terms: -10y + 10y = 0
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 0 + 15y2 + -15y2 + 10y3 + -10y3
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 15y2 + -15y2 + 10y3 + -10y3

Combine like terms: 15y2 + -15y2 = 0
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 0 + 10y3 + -10y3
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 10y3 + -10y3

Combine like terms: 10y3 + -10y3 = 0
15 + -3Y + 10y + -2yY + -15y2 + -10y3 = 0

The solution to this equation could not be determined.

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