16r+15=-r^2

Solution for 16r+15=-r^2 equation:

Simplifying
16r + 15 = -1r2

Reorder the terms:
15 + 16r = -1r2

Solving
15 + 16r = -1r2

Solving for variable 'r'.

Combine like terms: -1r2 + r2 = 0
15 + 16r + r2 = 0

Factor a trinomial.
(15 + r)(1 + r) = 0

Subproblem 1
Set the factor '(15 + r)' equal to zero and attempt to solve:

Simplifying
15 + r = 0

Solving
15 + r = 0

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

Add '-15' to each side of the equation.
15 + -15 + r = 0 + -15

Combine like terms: 15 + -15 = 0
0 + r = 0 + -15
r = 0 + -15

Combine like terms: 0 + -15 = -15
r = -15

Simplifying
r = -15
Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve:

Simplifying
1 + r = 0

Solving
1 + r = 0

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

Add '-1' to each side of the equation.
1 + -1 + r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + r = 0 + -1
r = 0 + -1

Combine like terms: 0 + -1 = -1
r = -1

Simplifying
r = -1
Solution
r = {-15, -1}