8y^3+16y^2=

Solution for 8y^3+16y^2= equation:

Simplifying
8y3 + 16y2 = 0

Reorder the terms:
16y2 + 8y3 = 0

Solving
16y2 + 8y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y2'.
8y2(2 + y) = 0

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

Simplifying
2 + y = 0

Solving
2 + y = 0

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

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

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

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

Simplifying
y = -2
Solution
y = {0, -2}