z^2+33z=0

Solution for z^2+33z=0 equation:

Simplifying
z2 + 33z = 0

Reorder the terms:
33z + z2 = 0

Solving
33z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(33 + 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 '(33 + z)' equal to zero and attempt to solve:

Simplifying
33 + z = 0

Solving
33 + z = 0

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

Add '-33' to each side of the equation.
33 + -33 + z = 0 + -33

Combine like terms: 33 + -33 = 0
0 + z = 0 + -33
z = 0 + -33

Combine like terms: 0 + -33 = -33
z = -33

Simplifying
z = -33
Solution
z = {0, -33}