3y^3(3y+4)(y-5)=

Solution for 3y^3(3y+4)(y-5)= equation:

Simplifying
3y3(3y + 4)(y + -5) = 0

Reorder the terms:
3y3(4 + 3y)(y + -5) = 0

Reorder the terms:
3y3(4 + 3y)(-5 + y) = 0

Multiply (4 + 3y) * (-5 + y)
3y3(4(-5 + y) + 3y * (-5 + y)) = 0
3y3((-5 * 4 + y * 4) + 3y * (-5 + y)) = 0
3y3((-20 + 4y) + 3y * (-5 + y)) = 0
3y3(-20 + 4y + (-5 * 3y + y * 3y)) = 0
3y3(-20 + 4y + (-15y + 3y2)) = 0

Combine like terms: 4y + -15y = -11y
3y3(-20 + -11y + 3y2) = 0
(-20 * 3y3 + -11y * 3y3 + 3y2 * 3y3) = 0
(-60y3 + -33y4 + 9y5) = 0

Solving
-60y3 + -33y4 + 9y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y3'.
3y3(-20 + -11y + 3y2) = 0

Factor a trinomial.
3y3((-4 + -3y)(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 '(-4 + -3y)' equal to zero and attempt to solve:

Simplifying
-4 + -3y = 0

Solving
-4 + -3y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 0 + 4
-3y = 0 + 4

Combine like terms: 0 + 4 = 4
-3y = 4

Divide each side by '-3'.
y = -1.333333333

Simplifying
y = -1.333333333
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 = {-1.333333333, 5}