20Z^2-1Z-Z=0

Solution for 20Z^2-1Z-Z=0 equation:

Simplifying
20Z2 + -1Z + -1Z = 0

Reorder the terms:
-1Z + -1Z + 20Z2 = 0

Combine like terms: -1Z + -1Z = -2Z
-2Z + 20Z2 = 0

Solving
-2Z + 20Z2 = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), '2Z'.
2Z(-1 + 10Z) = 0

Ignore the factor 2.
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 '(-1 + 10Z)' equal to zero and attempt to solve:

Simplifying
-1 + 10Z = 0

Solving
-1 + 10Z = 0

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

Add '1' to each side of the equation.
-1 + 1 + 10Z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10Z = 0 + 1
10Z = 0 + 1

Combine like terms: 0 + 1 = 1
10Z = 1

Divide each side by '10'.
Z = 0.1

Simplifying
Z = 0.1
Solution
Z = {0, 0.1}