-3y^3+9y^2-15y=

Solution for -3y^3+9y^2-15y= equation:

Simplifying
-3y3 + 9y2 + -15y = 0

Reorder the terms:
-15y + 9y2 + -3y3 = 0

Solving
-15y + 9y2 + -3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-5 + 3y + -1y2) = 0

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-5 + 3y + -1y2)' equal to zero and attempt to solve:

Simplifying
-5 + 3y + -1y2 = 0

Solving
-5 + 3y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
5 + -3y + y2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -3y + -5 + y2 = 0 + -5

Reorder the terms:
5 + -5 + -3y + y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3y + y2 = 0 + -5
-3y + y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3y + y2 = -5

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -5 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -5 + 2.25

Combine like terms: -5 + 2.25 = -2.75
2.25 + -3y + y2 = -2.75

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}