(s-4)(s-4)-121=0

Solution for (s-4)(s-4)-121=0 equation:

Simplifying
(s + -4)(s + -4) + -121 = 0

Reorder the terms:
(-4 + s)(s + -4) + -121 = 0

Reorder the terms:
(-4 + s)(-4 + s) + -121 = 0

Multiply (-4 + s) * (-4 + s)
(-4(-4 + s) + s(-4 + s)) + -121 = 0
((-4 * -4 + s * -4) + s(-4 + s)) + -121 = 0
((16 + -4s) + s(-4 + s)) + -121 = 0
(16 + -4s + (-4 * s + s * s)) + -121 = 0
(16 + -4s + (-4s + s2)) + -121 = 0

Combine like terms: -4s + -4s = -8s
(16 + -8s + s2) + -121 = 0

Reorder the terms:
16 + -121 + -8s + s2 = 0

Combine like terms: 16 + -121 = -105
-105 + -8s + s2 = 0

Solving
-105 + -8s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -1s)(15 + -1s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(15 + -1s)' equal to zero and attempt to solve:

Simplifying
15 + -1s = 0

Solving
15 + -1s = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1s = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1s = 0 + -15
-1s = 0 + -15

Combine like terms: 0 + -15 = -15
-1s = -15

Divide each side by '-1'.
s = 15

Simplifying
s = 15
Solution
s = {-7, 15}