15y^4+9y^3+3y^2=

Solution for 15y^4+9y^3+3y^2= equation:

Simplifying
15y4 + 9y3 + 3y2 = 0

Reorder the terms:
3y2 + 9y3 + 15y4 = 0

Solving
3y2 + 9y3 + 15y4 = 0

Solving for variable 'y'.

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

Ignore the factor 3.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(1 + 3y + 5y2)' equal to zero and attempt to solve:

Simplifying
1 + 3y + 5y2 = 0

Solving
1 + 3y + 5y2 = 0

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

Divide each side by '5'.
0.2 + 0.6y + y2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 0.6y + -0.2 + y2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.6y + y2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.6y + y2 = 0 + -0.2
0.6y + y2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.6y + y2 = -0.2

The y term is 0.6y.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6y + 0.09 + y2 = -0.2 + 0.09

Reorder the terms:
0.09 + 0.6y + y2 = -0.2 + 0.09

Combine like terms: -0.2 + 0.09 = -0.11
0.09 + 0.6y + y2 = -0.11

Factor a perfect square on the left side:
(y + 0.3)(y + 0.3) = -0.11

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}