Z^2+8Z+15=

Solution for Z^2+8Z+15= equation:

Simplifying
Z2 + 8Z + 15 = 0

Reorder the terms:
15 + 8Z + Z2 = 0

Solving
15 + 8Z + Z2 = 0

Solving for variable 'Z'.

Factor a trinomial.
(5 + Z)(3 + Z) = 0

Subproblem 1
Set the factor '(5 + Z)' equal to zero and attempt to solve:

Simplifying
5 + Z = 0

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

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

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

Simplifying
Z = -5
Subproblem 2
Set the factor '(3 + Z)' equal to zero and attempt to solve:

Simplifying
3 + Z = 0

Solving
3 + Z = 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 + Z = 0 + -3

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

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

Simplifying
Z = -3
Solution
Z = {-5, -3}