(s+3)(s+3)=64

Solution for (s+3)(s+3)=64 equation:

Simplifying
(s + 3)(s + 3) = 64

Reorder the terms:
(3 + s)(s + 3) = 64

Reorder the terms:
(3 + s)(3 + s) = 64

Multiply (3 + s) * (3 + s)
(3(3 + s) + s(3 + s)) = 64
((3 * 3 + s * 3) + s(3 + s)) = 64
((9 + 3s) + s(3 + s)) = 64
(9 + 3s + (3 * s + s * s)) = 64
(9 + 3s + (3s + s2)) = 64

Combine like terms: 3s + 3s = 6s
(9 + 6s + s2) = 64

Solving
9 + 6s + s2 = 64

Solving for variable 's'.

Reorder the terms:
9 + -64 + 6s + s2 = 64 + -64

Combine like terms: 9 + -64 = -55
-55 + 6s + s2 = 64 + -64

Combine like terms: 64 + -64 = 0
-55 + 6s + s2 = 0

Factor a trinomial.
(-11 + -1s)(5 + -1s) = 0

Subproblem 1
Set the factor '(-11 + -1s)' equal to zero and attempt to solve:

Simplifying
-11 + -1s = 0

Solving
-11 + -1s = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1s = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1s = 0 + 11
-1s = 0 + 11

Combine like terms: 0 + 11 = 11
-1s = 11

Divide each side by '-1'.
s = -11

Simplifying
s = -11
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-11, 5}