(3s-4)(s+6)=

Solution for (3s-4)(s+6)= equation:

Simplifying
(3s + -4)(s + 6) = 0

Reorder the terms:
(-4 + 3s)(s + 6) = 0

Reorder the terms:
(-4 + 3s)(6 + s) = 0

Multiply (-4 + 3s) * (6 + s)
(-4(6 + s) + 3s * (6 + s)) = 0
((6 * -4 + s * -4) + 3s * (6 + s)) = 0
((-24 + -4s) + 3s * (6 + s)) = 0
(-24 + -4s + (6 * 3s + s * 3s)) = 0
(-24 + -4s + (18s + 3s2)) = 0

Combine like terms: -4s + 18s = 14s
(-24 + 14s + 3s2) = 0

Solving
-24 + 14s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -1s)(4 + -3s) = 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 '(4 + -3s)' equal to zero and attempt to solve:

Simplifying
4 + -3s = 0

Solving
4 + -3s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3s = 0 + -4
-3s = 0 + -4

Combine like terms: 0 + -4 = -4
-3s = -4

Divide each side by '-3'.
s = 1.333333333

Simplifying
s = 1.333333333
Solution
s = {-6, 1.333333333}