Z^2+-9Z+18=0

Solution for Z^2+-9Z+18=0 equation:

Simplifying
Z2 + -9Z + 18 = 0

Reorder the terms:
18 + -9Z + Z2 = 0

Solving
18 + -9Z + Z2 = 0

Solving for variable 'Z'.

Factor a trinomial.
(3 + -1Z)(6 + -1Z) = 0

Subproblem 1
Set the factor '(3 + -1Z)' equal to zero and attempt to solve:

Simplifying
3 + -1Z = 0

Solving
3 + -1Z = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1Z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1Z = 0 + -3
-1Z = 0 + -3

Combine like terms: 0 + -3 = -3
-1Z = -3

Divide each side by '-1'.
Z = 3

Simplifying
Z = 3
Subproblem 2
Set the factor '(6 + -1Z)' equal to zero and attempt to solve:

Simplifying
6 + -1Z = 0

Solving
6 + -1Z = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1Z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1Z = 0 + -6
-1Z = 0 + -6

Combine like terms: 0 + -6 = -6
-1Z = -6

Divide each side by '-1'.
Z = 6

Simplifying
Z = 6
Solution
Z = {3, 6}