r^2+20r+16=-3

Solution for r^2+20r+16=-3 equation:

Simplifying
r2 + 20r + 16 = -3

Reorder the terms:
16 + 20r + r2 = -3

Solving
16 + 20r + r2 = -3

Solving for variable 'r'.

Reorder the terms:
16 + 3 + 20r + r2 = -3 + 3

Combine like terms: 16 + 3 = 19
19 + 20r + r2 = -3 + 3

Combine like terms: -3 + 3 = 0
19 + 20r + r2 = 0

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

Subproblem 1
Set the factor '(19 + r)' equal to zero and attempt to solve:

Simplifying
19 + r = 0

Solving
19 + r = 0

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

Add '-19' to each side of the equation.
19 + -19 + r = 0 + -19

Combine like terms: 19 + -19 = 0
0 + r = 0 + -19
r = 0 + -19

Combine like terms: 0 + -19 = -19
r = -19

Simplifying
r = -19
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 = {-19, -1}