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

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

Simplifying
3y3(2y + 3)(y + -5) = 0

Reorder the terms:
3y3(3 + 2y)(y + -5) = 0

Reorder the terms:
3y3(3 + 2y)(-5 + y) = 0

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

Combine like terms: 3y + -10y = -7y
3y3(-15 + -7y + 2y2) = 0
(-15 * 3y3 + -7y * 3y3 + 2y2 * 3y3) = 0
(-45y3 + -21y4 + 6y5) = 0

Solving
-45y3 + -21y4 + 6y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y3'.
3y3(-15 + -7y + 2y2) = 0

Factor a trinomial.
3y3((-3 + -2y)(5 + -1y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve:

Simplifying
y3 = 0

Solving
y3 = 0

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

Simplifying
y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-3 + -2y)' equal to zero and attempt to solve:

Simplifying
-3 + -2y = 0

Solving
-3 + -2y = 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 + -2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 0 + 3
-2y = 0 + 3

Combine like terms: 0 + 3 = 3
-2y = 3

Divide each side by '-2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 3
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-1.5, 5}