Z-5Z^2=0

Solution for Z-5Z^2=0 equation:

Simplifying
Z + -5Z2 = 0

Solving
Z + -5Z2 = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(1 + -5Z) = 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 '(1 + -5Z)' equal to zero and attempt to solve:

Simplifying
1 + -5Z = 0

Solving
1 + -5Z = 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 + -5Z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5Z = 0 + -1
-5Z = 0 + -1

Combine like terms: 0 + -1 = -1
-5Z = -1

Divide each side by '-5'.
Z = 0.2

Simplifying
Z = 0.2
Solution
Z = {0, 0.2}