z^2+11z=-18

Solution for z^2+11z=-18 equation:

Simplifying
z2 + 11z = -18

Reorder the terms:
11z + z2 = -18

Solving
11z + z2 = -18

Solving for variable 'z'.

Reorder the terms:
18 + 11z + z2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + 11z + z2 = 0

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

Subproblem 1
Set the factor '(9 + z)' equal to zero and attempt to solve:

Simplifying
9 + z = 0

Solving
9 + z = 0

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

Add '-9' to each side of the equation.
9 + -9 + z = 0 + -9

Combine like terms: 9 + -9 = 0
0 + z = 0 + -9
z = 0 + -9

Combine like terms: 0 + -9 = -9
z = -9

Simplifying
z = -9
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 = {-9, -2}