Z^2-20=Z

Solution for Z^2-20=Z equation:

Simplifying
Z2 + -20 = Z

Reorder the terms:
-20 + Z2 = Z

Solving
-20 + Z2 = Z

Solving for variable 'Z'.

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

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

Factor a trinomial.
(-4 + -1Z)(5 + -1Z) = 0

Subproblem 1
Set the factor '(-4 + -1Z)' equal to zero and attempt to solve:

Simplifying
-4 + -1Z = 0

Solving
-4 + -1Z = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1Z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1Z = 0 + 4
-1Z = 0 + 4

Combine like terms: 0 + 4 = 4
-1Z = 4

Divide each side by '-1'.
Z = -4

Simplifying
Z = -4
Subproblem 2
Set the factor '(5 + -1Z)' equal to zero and attempt to solve:

Simplifying
5 + -1Z = 0

Solving
5 + -1Z = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1Z = 0 + -5

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

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

Divide each side by '-1'.
Z = 5

Simplifying
Z = 5
Solution
Z = {-4, 5}