-6y^2(y+2y^2)=

Solution for -6y^2(y+2y^2)= equation:

Simplifying
-6y2(y + 2y2) = 0
(y * -6y2 + 2y2 * -6y2) = 0
(-6y3 + -12y4) = 0

Solving
-6y3 + -12y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-6y3'.
-6y3(1 + 2y) = 0

Ignore the factor -6.
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 '(1 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {-0.5}