z^2+16z+15=0

Solution for z^2+16z+15=0 equation:

Simplifying
z2 + 16z + 15 = 0

Reorder the terms:
15 + 16z + z2 = 0

Solving
15 + 16z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(15 + z)(1 + z) = 0

Subproblem 1
Set the factor '(15 + z)' equal to zero and attempt to solve:

Simplifying
15 + z = 0

Solving
15 + z = 0

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

Add '-15' to each side of the equation.
15 + -15 + z = 0 + -15

Combine like terms: 15 + -15 = 0
0 + z = 0 + -15
z = 0 + -15

Combine like terms: 0 + -15 = -15
z = -15

Simplifying
z = -15
Subproblem 2
Set the factor '(1 + z)' equal to zero and attempt to solve:

Simplifying
1 + z = 0

Solving
1 + z = 0

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

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

Combine like terms: 1 + -1 = 0
0 + z = 0 + -1
z = 0 + -1

Combine like terms: 0 + -1 = -1
z = -1

Simplifying
z = -1
Solution
z = {-15, -1}