z^2+16z=

Solution for z^2+16z= equation:

Simplifying
z2 + 16z = 0

Reorder the terms:
16z + z2 = 0

Solving
16z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(16 + z) = 0

Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0
Subproblem 2
Set the factor '(16 + z)' equal to zero and attempt to solve:

Simplifying
16 + z = 0

Solving
16 + z = 0

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

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

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

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

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