Z^2=10Z

Solution for Z^2=10Z equation:

Simplifying
Z2 = 10Z

Solving
Z2 = 10Z

Solving for variable 'Z'.

Reorder the terms:
-10Z + Z2 = 10Z + -10Z

Combine like terms: 10Z + -10Z = 0
-10Z + Z2 = 0

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(-10 + 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 '(-10 + Z)' equal to zero and attempt to solve:

Simplifying
-10 + Z = 0

Solving
-10 + Z = 0

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

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

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

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

Simplifying
Z = 10
Solution
Z = {0, 10}