r^2=-5-6r

Solution for r^2=-5-6r equation:

Simplifying
r2 = -5 + -6r

Solving
r2 = -5 + -6r

Solving for variable 'r'.

Reorder the terms:
5 + 6r + r2 = -5 + -6r + 5 + 6r

Reorder the terms:
5 + 6r + r2 = -5 + 5 + -6r + 6r

Combine like terms: -5 + 5 = 0
5 + 6r + r2 = 0 + -6r + 6r
5 + 6r + r2 = -6r + 6r

Combine like terms: -6r + 6r = 0
5 + 6r + r2 = 0

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

Subproblem 1
Set the factor '(5 + r)' equal to zero and attempt to solve:

Simplifying
5 + r = 0

Solving
5 + r = 0

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

Add '-5' to each side of the equation.
5 + -5 + r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + r = 0 + -5
r = 0 + -5

Combine like terms: 0 + -5 = -5
r = -5

Simplifying
r = -5
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 = {-5, -1}