(r+3)(r+3)=0

Solution for (r+3)(r+3)=0 equation:

Simplifying
(r + 3)(r + 3) = 0

Reorder the terms:
(3 + r)(r + 3) = 0

Reorder the terms:
(3 + r)(3 + r) = 0

Multiply (3 + r) * (3 + r)
(3(3 + r) + r(3 + r)) = 0
((3 * 3 + r * 3) + r(3 + r)) = 0
((9 + 3r) + r(3 + r)) = 0
(9 + 3r + (3 * r + r * r)) = 0
(9 + 3r + (3r + r2)) = 0

Combine like terms: 3r + 3r = 6r
(9 + 6r + r2) = 0

Solving
9 + 6r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(3 + r)(3 + 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 '(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
Solution
r = {-3, -3}