2z(z^2+16)=

Solution for 2z(z^2+16)= equation:

Simplifying
2z(z2 + 16) = 0

Reorder the terms:
2z(16 + z2) = 0
(16 * 2z + z2 * 2z) = 0
(32z + 2z3) = 0

Solving
32z + 2z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(16 + z2) = 0

Ignore the factor 2.
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 + z2)' equal to zero and attempt to solve:

Simplifying
16 + z2 = 0

Solving
16 + z2 = 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 + z2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + z2 = 0 + -16
z2 = 0 + -16

Combine like terms: 0 + -16 = -16
z2 = -16

Simplifying
z2 = -16

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
z = {0}