4s(s+6)-5(s+6)=

Solution for 4s(s+6)-5(s+6)= equation:

Simplifying
4s(s + 6) + -5(s + 6) = 0

Reorder the terms:
4s(6 + s) + -5(s + 6) = 0
(6 * 4s + s * 4s) + -5(s + 6) = 0
(24s + 4s2) + -5(s + 6) = 0

Reorder the terms:
24s + 4s2 + -5(6 + s) = 0
24s + 4s2 + (6 * -5 + s * -5) = 0
24s + 4s2 + (-30 + -5s) = 0

Reorder the terms:
-30 + 24s + -5s + 4s2 = 0

Combine like terms: 24s + -5s = 19s
-30 + 19s + 4s2 = 0

Solving
-30 + 19s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -1s)(5 + -4s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1s = 0 + 6
-1s = 0 + 6

Combine like terms: 0 + 6 = 6
-1s = 6

Divide each side by '-1'.
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(5 + -4s)' equal to zero and attempt to solve:

Simplifying
5 + -4s = 0

Solving
5 + -4s = 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 + -4s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4s = 0 + -5
-4s = 0 + -5

Combine like terms: 0 + -5 = -5
-4s = -5

Divide each side by '-4'.
s = 1.25

Simplifying
s = 1.25
Solution
s = {-6, 1.25}