(s+6)2+(s+-10)=100

Solution for (s+6)2+(s+-10)=100 equation:

Simplifying
(s + 6) * 2 + (s + -10) = 100

Reorder the terms:
(6 + s) * 2 + (s + -10) = 100

Reorder the terms for easier multiplication:
2(6 + s) + (s + -10) = 100
(6 * 2 + s * 2) + (s + -10) = 100
(12 + 2s) + (s + -10) = 100

Reorder the terms:
12 + 2s + (-10 + s) = 100

Remove parenthesis around (-10 + s)
12 + 2s + -10 + s = 100

Reorder the terms:
12 + -10 + 2s + s = 100

Combine like terms: 12 + -10 = 2
2 + 2s + s = 100

Combine like terms: 2s + s = 3s
2 + 3s = 100

Solving
2 + 3s = 100

Solving for variable 's'.

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

Add '-2' to each side of the equation.
2 + -2 + 3s = 100 + -2

Combine like terms: 2 + -2 = 0
0 + 3s = 100 + -2
3s = 100 + -2

Combine like terms: 100 + -2 = 98
3s = 98

Divide each side by '3'.
s = 32.66666667

Simplifying
s = 32.66666667