3y^3-y^2+12y=

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Solution for 3y^3-y^2+12y= equation: 


Simplifying
3y3 + -1y2 + 12y = 0

Reorder the terms:
12y + -1y2 + 3y3 = 0

Solving
12y + -1y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(12 + -1y + 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 '(12 + -1y + 3y2)' equal to zero and attempt to solve:

Simplifying
12 + -1y + 3y2 = 0

Solving
12 + -1y + 3y2 = 0

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

Divide each side by '3'.
4 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.3333333333y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + -0.3333333333y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.3333333333y + y2 = 0 + -4
-0.3333333333y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.3333333333y + y2 = -4

The y term is -0.3333333333y.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333y + 0.02777777779 + y2 = -4 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -4 + 0.02777777779

Combine like terms: -4 + 0.02777777779 = -3.97222222221
0.02777777779 + -0.3333333333y + y2 = -3.97222222221

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -3.97222222221

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}

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