8y^2(y^2+6y)=

Solution for 8y^2(y^2+6y)= equation:

Simplifying
8y2(y2 + 6y) = 0

Reorder the terms:
8y2(6y + y2) = 0
(6y * 8y2 + y2 * 8y2) = 0
(48y3 + 8y4) = 0

Solving
48y3 + 8y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y3'.
8y3(6 + y) = 0

Ignore the factor 8.
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 '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Solution
y = {-6}