8s(s+6)=s-35

Solution for 8s(s+6)=s-35 equation:

Simplifying
8s(s + 6) = s + -35

Reorder the terms:
8s(6 + s) = s + -35
(6 * 8s + s * 8s) = s + -35
(48s + 8s2) = s + -35

Reorder the terms:
48s + 8s2 = -35 + s

Solving
48s + 8s2 = -35 + s

Solving for variable 's'.

Reorder the terms:
35 + 48s + -1s + 8s2 = -35 + s + 35 + -1s

Combine like terms: 48s + -1s = 47s
35 + 47s + 8s2 = -35 + s + 35 + -1s

Reorder the terms:
35 + 47s + 8s2 = -35 + 35 + s + -1s

Combine like terms: -35 + 35 = 0
35 + 47s + 8s2 = 0 + s + -1s
35 + 47s + 8s2 = s + -1s

Combine like terms: s + -1s = 0
35 + 47s + 8s2 = 0

Factor a trinomial.
(5 + s)(7 + 8s) = 0

Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve:

Simplifying
5 + s = 0

Solving
5 + s = 0

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

Add '-5' to each side of the equation.
5 + -5 + s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + s = 0 + -5
s = 0 + -5

Combine like terms: 0 + -5 = -5
s = -5

Simplifying
s = -5
Subproblem 2
Set the factor '(7 + 8s)' equal to zero and attempt to solve:

Simplifying
7 + 8s = 0

Solving
7 + 8s = 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 + 8s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8s = 0 + -7
8s = 0 + -7

Combine like terms: 0 + -7 = -7
8s = -7

Divide each side by '8'.
s = -0.875

Simplifying
s = -0.875
Solution
s = {-5, -0.875}