0=-r^2-4r-3

Solution for 0=-r^2-4r-3 equation:

Simplifying
0 = -1r2 + -4r + -3

Reorder the terms:
0 = -3 + -4r + -1r2

Solving
0 = -3 + -4r + -1r2

Solving for variable 'r'.

Combine like terms: 0 + 3 = 3
3 + 4r + r2 = -3 + -4r + -1r2 + 3 + 4r + r2

Reorder the terms:
3 + 4r + r2 = -3 + 3 + -4r + 4r + -1r2 + r2

Combine like terms: -3 + 3 = 0
3 + 4r + r2 = 0 + -4r + 4r + -1r2 + r2
3 + 4r + r2 = -4r + 4r + -1r2 + r2

Combine like terms: -4r + 4r = 0
3 + 4r + r2 = 0 + -1r2 + r2
3 + 4r + r2 = -1r2 + r2

Combine like terms: -1r2 + r2 = 0
3 + 4r + r2 = 0

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

Subproblem 1
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
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 = {-3, -1}