s(13s+5)=8

Solution for s(13s+5)=8 equation:

Simplifying
s(13s + 5) = 8

Reorder the terms:
s(5 + 13s) = 8
(5 * s + 13s * s) = 8
(5s + 13s2) = 8

Solving
5s + 13s2 = 8

Solving for variable 's'.

Reorder the terms:
-8 + 5s + 13s2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 5s + 13s2 = 0

Factor a trinomial.
(-1 + -1s)(8 + -13s) = 0

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

Simplifying
-1 + -1s = 0

Solving
-1 + -1s = 0

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

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

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

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

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

Simplifying
s = -1
Subproblem 2
Set the factor '(8 + -13s)' equal to zero and attempt to solve:

Simplifying
8 + -13s = 0

Solving
8 + -13s = 0

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

Add '-8' to each side of the equation.
8 + -8 + -13s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -13s = 0 + -8
-13s = 0 + -8

Combine like terms: 0 + -8 = -8
-13s = -8

Divide each side by '-13'.
s = 0.6153846154

Simplifying
s = 0.6153846154
Solution
s = {-1, 0.6153846154}