(3s-1)(4s-3)=0

Solution for (3s-1)(4s-3)=0 equation:

Simplifying
(3s + -1)(4s + -3) = 0

Reorder the terms:
(-1 + 3s)(4s + -3) = 0

Reorder the terms:
(-1 + 3s)(-3 + 4s) = 0

Multiply (-1 + 3s) * (-3 + 4s)
(-1(-3 + 4s) + 3s * (-3 + 4s)) = 0
((-3 * -1 + 4s * -1) + 3s * (-3 + 4s)) = 0
((3 + -4s) + 3s * (-3 + 4s)) = 0
(3 + -4s + (-3 * 3s + 4s * 3s)) = 0
(3 + -4s + (-9s + 12s2)) = 0

Combine like terms: -4s + -9s = -13s
(3 + -13s + 12s2) = 0

Solving
3 + -13s + 12s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -3s)(3 + -4s) = 0

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

Simplifying
1 + -3s = 0

Solving
1 + -3s = 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 + -3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3s = 0 + -1
-3s = 0 + -1

Combine like terms: 0 + -1 = -1
-3s = -1

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Subproblem 2
Set the factor '(3 + -4s)' equal to zero and attempt to solve:

Simplifying
3 + -4s = 0

Solving
3 + -4s = 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 + -4s = 0 + -3

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

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

Divide each side by '-4'.
s = 0.75

Simplifying
s = 0.75
Solution
s = {0.3333333333, 0.75}