z^2+23z=0

Solution for z^2+23z=0 equation:

Simplifying
z2 + 23z = 0

Reorder the terms:
23z + z2 = 0

Solving
23z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(23 + 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 '(23 + z)' equal to zero and attempt to solve:

Simplifying
23 + z = 0

Solving
23 + z = 0

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

Add '-23' to each side of the equation.
23 + -23 + z = 0 + -23

Combine like terms: 23 + -23 = 0
0 + z = 0 + -23
z = 0 + -23

Combine like terms: 0 + -23 = -23
z = -23

Simplifying
z = -23
Solution
z = {0, -23}