a(a+z)=

Solution for a(a+z)= equation:

Simplifying
a(a + z) = 0
(a * a + z * a) = 0

Reorder the terms:
(az + a2) = 0
(az + a2) = 0

Solving
az + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(z + 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 '(z + a)' equal to zero and attempt to solve:

Simplifying
z + a = 0

Reorder the terms:
a + z = 0

Solving
a + z = 0

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

Add '-1z' to each side of the equation.
a + z + -1z = 0 + -1z

Combine like terms: z + -1z = 0
a + 0 = 0 + -1z
a = 0 + -1z
Remove the zero:
a = -1z

Simplifying
a = -1z
Solution
a = {0, -1z}