z^2+22z+40=

Solution for z^2+22z+40= equation:

Simplifying
z2 + 22z + 40 = 0

Reorder the terms:
40 + 22z + z2 = 0

Solving
40 + 22z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(20 + z)(2 + z) = 0

Subproblem 1
Set the factor '(20 + z)' equal to zero and attempt to solve:

Simplifying
20 + z = 0

Solving
20 + z = 0

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

Add '-20' to each side of the equation.
20 + -20 + z = 0 + -20

Combine like terms: 20 + -20 = 0
0 + z = 0 + -20
z = 0 + -20

Combine like terms: 0 + -20 = -20
z = -20

Simplifying
z = -20
Subproblem 2
Set the factor '(2 + z)' equal to zero and attempt to solve:

Simplifying
2 + z = 0

Solving
2 + z = 0

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

Add '-2' to each side of the equation.
2 + -2 + z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + z = 0 + -2
z = 0 + -2

Combine like terms: 0 + -2 = -2
z = -2

Simplifying
z = -2
Solution
z = {-20, -2}