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

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

Simplifying
(5 + -1Z)(5Z + 6) = 0

Reorder the terms:
(5 + -1Z)(6 + 5Z) = 0

Multiply (5 + -1Z) * (6 + 5Z)
(5(6 + 5Z) + -1Z * (6 + 5Z)) = 0
((6 * 5 + 5Z * 5) + -1Z * (6 + 5Z)) = 0
((30 + 25Z) + -1Z * (6 + 5Z)) = 0
(30 + 25Z + (6 * -1Z + 5Z * -1Z)) = 0
(30 + 25Z + (-6Z + -5Z2)) = 0

Combine like terms: 25Z + -6Z = 19Z
(30 + 19Z + -5Z2) = 0

Solving
30 + 19Z + -5Z2 = 0

Solving for variable 'Z'.

Factor a trinomial.
(5 + -1Z)(6 + 5Z) = 0

Subproblem 1
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
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 = {5, -1.2}