z^2-20z=0

Solution for z^2-20z=0 equation:

Simplifying
z2 + -20z = 0

Reorder the terms:
-20z + z2 = 0

Solving
-20z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-20 + 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 '(-20 + z)' equal to zero and attempt to solve:

Simplifying
-20 + z = 0

Solving
-20 + z = 0

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

Add '20' to each side of the equation.
-20 + 20 + z = 0 + 20

Combine like terms: -20 + 20 = 0
0 + z = 0 + 20
z = 0 + 20

Combine like terms: 0 + 20 = 20
z = 20

Simplifying
z = 20
Solution
z = {0, 20}