-3y^3+6y^2-14y=

Solution for -3y^3+6y^2-14y= equation:

Simplifying
-3y3 + 6y2 + -14y = 0

Reorder the terms:
-14y + 6y2 + -3y3 = 0

Solving
-14y + 6y2 + -3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-14 + 6y + -3y2) = 0

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 '(-14 + 6y + -3y2)' equal to zero and attempt to solve:

Simplifying
-14 + 6y + -3y2 = 0

Solving
-14 + 6y + -3y2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
4.666666667 + -2y + y2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -2y + -4.666666667 + y2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -2y + y2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -2y + y2 = 0 + -4.666666667
-2y + y2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-2y + y2 = -4.666666667

The y term is -2y.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2y + 1 + y2 = -4.666666667 + 1

Reorder the terms:
1 + -2y + y2 = -4.666666667 + 1

Combine like terms: -4.666666667 + 1 = -3.666666667
1 + -2y + y2 = -3.666666667

Factor a perfect square on the left side:
(y + -1)(y + -1) = -3.666666667

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}