0=32+18r+r^2

Solution for 0=32+18r+r^2 equation:

Simplifying
0 = 32 + 18r + r2

Solving
0 = 32 + 18r + r2

Solving for variable 'r'.

Combine like terms: 0 + -32 = -32
-32 + -18r + -1r2 = 32 + 18r + r2 + -32 + -18r + -1r2

Reorder the terms:
-32 + -18r + -1r2 = 32 + -32 + 18r + -18r + r2 + -1r2

Combine like terms: 32 + -32 = 0
-32 + -18r + -1r2 = 0 + 18r + -18r + r2 + -1r2
-32 + -18r + -1r2 = 18r + -18r + r2 + -1r2

Combine like terms: 18r + -18r = 0
-32 + -18r + -1r2 = 0 + r2 + -1r2
-32 + -18r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-32 + -18r + -1r2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(32 + 18r + r2) = 0

Factor a trinomial.
-1((16 + r)(2 + r)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(16 + r)' equal to zero and attempt to solve:

Simplifying
16 + r = 0

Solving
16 + r = 0

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

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

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

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

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

Simplifying
2 + r = 0

Solving
2 + r = 0

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

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

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

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

Simplifying
r = -2
Solution
r = {-16, -2}