Z^2-9-2Z-6=0

Solution for Z^2-9-2Z-6=0 equation:

Simplifying
Z2 + -9 + -2Z + -6 = 0

Reorder the terms:
-9 + -6 + -2Z + Z2 = 0

Combine like terms: -9 + -6 = -15
-15 + -2Z + Z2 = 0

Solving
-15 + -2Z + Z2 = 0

Solving for variable 'Z'.

Factor a trinomial.
(-3 + -1Z)(5 + -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 '(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 = {-3, 5}