y^2+16y=0

Solution for y^2+16y=0 equation:

Simplifying
y2 + 16y = 0

Reorder the terms:
16y + y2 = 0

Solving
16y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(16 + y) = 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 '(16 + y)' equal to zero and attempt to solve:

Simplifying
16 + y = 0

Solving
16 + y = 0

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

Add '-16' to each side of the equation.
16 + -16 + y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + y = 0 + -16
y = 0 + -16

Combine like terms: 0 + -16 = -16
y = -16

Simplifying
y = -16
Solution
y = {0, -16}