z^2+28z+192=0

Solution for z^2+28z+192=0 equation:

Simplifying
z2 + 28z + 192 = 0

Reorder the terms:
192 + 28z + z2 = 0

Solving
192 + 28z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(16 + z)(12 + z) = 0

Subproblem 1
Set the factor '(16 + z)' equal to zero and attempt to solve:

Simplifying
16 + z = 0

Solving
16 + z = 0

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

Add '-16' to each side of the equation.
16 + -16 + z = 0 + -16

Combine like terms: 16 + -16 = 0
0 + z = 0 + -16
z = 0 + -16

Combine like terms: 0 + -16 = -16
z = -16

Simplifying
z = -16
Subproblem 2
Set the factor '(12 + z)' equal to zero and attempt to solve:

Simplifying
12 + z = 0

Solving
12 + z = 0

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

Add '-12' to each side of the equation.
12 + -12 + z = 0 + -12

Combine like terms: 12 + -12 = 0
0 + z = 0 + -12
z = 0 + -12

Combine like terms: 0 + -12 = -12
z = -12

Simplifying
z = -12
Solution
z = {-16, -12}