z^2-39z=0

Solution for z^2-39z=0 equation:

Simplifying
z2 + -39z = 0

Reorder the terms:
-39z + z2 = 0

Solving
-39z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-39 + 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 '(-39 + z)' equal to zero and attempt to solve:

Simplifying
-39 + z = 0

Solving
-39 + z = 0

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

Add '39' to each side of the equation.
-39 + 39 + z = 0 + 39

Combine like terms: -39 + 39 = 0
0 + z = 0 + 39
z = 0 + 39

Combine like terms: 0 + 39 = 39
z = 39

Simplifying
z = 39
Solution
z = {0, 39}