(s+6)(s+6)=169

Solution for (s+6)(s+6)=169 equation:

Simplifying
(s + 6)(s + 6) = 169

Reorder the terms:
(6 + s)(s + 6) = 169

Reorder the terms:
(6 + s)(6 + s) = 169

Multiply (6 + s) * (6 + s)
(6(6 + s) + s(6 + s)) = 169
((6 * 6 + s * 6) + s(6 + s)) = 169
((36 + 6s) + s(6 + s)) = 169
(36 + 6s + (6 * s + s * s)) = 169
(36 + 6s + (6s + s2)) = 169

Combine like terms: 6s + 6s = 12s
(36 + 12s + s2) = 169

Solving
36 + 12s + s2 = 169

Solving for variable 's'.

Reorder the terms:
36 + -169 + 12s + s2 = 169 + -169

Combine like terms: 36 + -169 = -133
-133 + 12s + s2 = 169 + -169

Combine like terms: 169 + -169 = 0
-133 + 12s + s2 = 0

Factor a trinomial.
(-19 + -1s)(7 + -1s) = 0

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

Simplifying
-19 + -1s = 0

Solving
-19 + -1s = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1s = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1s = 0 + 19
-1s = 0 + 19

Combine like terms: 0 + 19 = 19
-1s = 19

Divide each side by '-1'.
s = -19

Simplifying
s = -19
Subproblem 2
Set the factor '(7 + -1s)' equal to zero and attempt to solve:

Simplifying
7 + -1s = 0

Solving
7 + -1s = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1s = 0 + -7
-1s = 0 + -7

Combine like terms: 0 + -7 = -7
-1s = -7

Divide each side by '-1'.
s = 7

Simplifying
s = 7
Solution
s = {-19, 7}