z^2-41z=0

Solution for z^2-41z=0 equation:

Simplifying
z2 + -41z = 0

Reorder the terms:
-41z + z2 = 0

Solving
-41z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-41 + 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 '(-41 + z)' equal to zero and attempt to solve:

Simplifying
-41 + z = 0

Solving
-41 + z = 0

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

Add '41' to each side of the equation.
-41 + 41 + z = 0 + 41

Combine like terms: -41 + 41 = 0
0 + z = 0 + 41
z = 0 + 41

Combine like terms: 0 + 41 = 41
z = 41

Simplifying
z = 41
Solution
z = {0, 41}