r^2+18r+56=0

Solution for r^2+18r+56=0 equation:

Simplifying
r2 + 18r + 56 = 0

Reorder the terms:
56 + 18r + r2 = 0

Solving
56 + 18r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(14 + r)(4 + r) = 0

Subproblem 1
Set the factor '(14 + r)' equal to zero and attempt to solve:

Simplifying
14 + r = 0

Solving
14 + r = 0

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

Add '-14' to each side of the equation.
14 + -14 + r = 0 + -14

Combine like terms: 14 + -14 = 0
0 + r = 0 + -14
r = 0 + -14

Combine like terms: 0 + -14 = -14
r = -14

Simplifying
r = -14
Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying
4 + r = 0

Solving
4 + r = 0

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

Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4

Combine like terms: 0 + -4 = -4
r = -4

Simplifying
r = -4
Solution
r = {-14, -4}