r^2+14r+33=0

Solution for r^2+14r+33=0 equation:

Simplifying
r2 + 14r + 33 = 0

Reorder the terms:
33 + 14r + r2 = 0

Solving
33 + 14r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(11 + r)(3 + r) = 0

Subproblem 1
Set the factor '(11 + r)' equal to zero and attempt to solve:

Simplifying
11 + r = 0

Solving
11 + r = 0

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

Add '-11' to each side of the equation.
11 + -11 + r = 0 + -11

Combine like terms: 11 + -11 = 0
0 + r = 0 + -11
r = 0 + -11

Combine like terms: 0 + -11 = -11
r = -11

Simplifying
r = -11
Subproblem 2
Set the factor '(3 + r)' equal to zero and attempt to solve:

Simplifying
3 + r = 0

Solving
3 + r = 0

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

Add '-3' to each side of the equation.
3 + -3 + r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + r = 0 + -3
r = 0 + -3

Combine like terms: 0 + -3 = -3
r = -3

Simplifying
r = -3
Solution
r = {-11, -3}