s^2+16s+64=100

Solution for s^2+16s+64=100 equation:

Simplifying
s2 + 16s + 64 = 100

Reorder the terms:
64 + 16s + s2 = 100

Solving
64 + 16s + s2 = 100

Solving for variable 's'.

Reorder the terms:
64 + -100 + 16s + s2 = 100 + -100

Combine like terms: 64 + -100 = -36
-36 + 16s + s2 = 100 + -100

Combine like terms: 100 + -100 = 0
-36 + 16s + s2 = 0

Factor a trinomial.
(-18 + -1s)(2 + -1s) = 0

Subproblem 1
Set the factor '(-18 + -1s)' equal to zero and attempt to solve:

Simplifying
-18 + -1s = 0

Solving
-18 + -1s = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1s = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1s = 0 + 18
-1s = 0 + 18

Combine like terms: 0 + 18 = 18
-1s = 18

Divide each side by '-1'.
s = -18

Simplifying
s = -18
Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {-18, 2}