(8+Z)(5Z+6)=0

Solution for (8+Z)(5Z+6)=0 equation:

Simplifying
(8 + Z)(5Z + 6) = 0

Reorder the terms:
(8 + Z)(6 + 5Z) = 0

Multiply (8 + Z) * (6 + 5Z)
(8(6 + 5Z) + Z(6 + 5Z)) = 0
((6 * 8 + 5Z * 8) + Z(6 + 5Z)) = 0
((48 + 40Z) + Z(6 + 5Z)) = 0
(48 + 40Z + (6 * Z + 5Z * Z)) = 0
(48 + 40Z + (6Z + 5Z2)) = 0

Combine like terms: 40Z + 6Z = 46Z
(48 + 46Z + 5Z2) = 0

Solving
48 + 46Z + 5Z2 = 0

Solving for variable 'Z'.

Factor a trinomial.
(8 + Z)(6 + 5Z) = 0

Subproblem 1
Set the factor '(8 + Z)' equal to zero and attempt to solve:

Simplifying
8 + Z = 0

Solving
8 + Z = 0

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

Add '-8' to each side of the equation.
8 + -8 + Z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + Z = 0 + -8
Z = 0 + -8

Combine like terms: 0 + -8 = -8
Z = -8

Simplifying
Z = -8
Subproblem 2
Set the factor '(6 + 5Z)' equal to zero and attempt to solve:

Simplifying
6 + 5Z = 0

Solving
6 + 5Z = 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 + 5Z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5Z = 0 + -6
5Z = 0 + -6

Combine like terms: 0 + -6 = -6
5Z = -6

Divide each side by '5'.
Z = -1.2

Simplifying
Z = -1.2
Solution
Z = {-8, -1.2}