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

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

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

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

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

Multiply (-4 + 3s) * (6 + 4s)
(-4(6 + 4s) + 3s * (6 + 4s)) = 0
((6 * -4 + 4s * -4) + 3s * (6 + 4s)) = 0
((-24 + -16s) + 3s * (6 + 4s)) = 0
(-24 + -16s + (6 * 3s + 4s * 3s)) = 0
(-24 + -16s + (18s + 12s2)) = 0

Combine like terms: -16s + 18s = 2s
(-24 + 2s + 12s2) = 0

Solving
-24 + 2s + 12s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + s + 6s2) = 0

Factor a trinomial.
2((-3 + -2s)(4 + -3s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -2s)' equal to zero and attempt to solve:

Simplifying
-3 + -2s = 0

Solving
-3 + -2s = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2s = 0 + 3
-2s = 0 + 3

Combine like terms: 0 + 3 = 3
-2s = 3

Divide each side by '-2'.
s = -1.5

Simplifying
s = -1.5
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 = {-1.5, 1.333333333}