a(a+16)=0

Solution for a(a+16)=0 equation:

Simplifying
a(a + 16) = 0

Reorder the terms:
a(16 + a) = 0
(16 * a + a * a) = 0
(16a + a2) = 0

Solving
16a + a2 = 0

Solving for variable 'a'.

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

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

Simplifying
a = 0

Solving
a = 0

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

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

Simplifying
16 + a = 0

Solving
16 + a = 0

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

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

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

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

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