(4s-1)(5s-3)=

Solution for (4s-1)(5s-3)= equation:

Simplifying
(4s + -1)(5s + -3) = 0

Reorder the terms:
(-1 + 4s)(5s + -3) = 0

Reorder the terms:
(-1 + 4s)(-3 + 5s) = 0

Multiply (-1 + 4s) * (-3 + 5s)
(-1(-3 + 5s) + 4s * (-3 + 5s)) = 0
((-3 * -1 + 5s * -1) + 4s * (-3 + 5s)) = 0
((3 + -5s) + 4s * (-3 + 5s)) = 0
(3 + -5s + (-3 * 4s + 5s * 4s)) = 0
(3 + -5s + (-12s + 20s2)) = 0

Combine like terms: -5s + -12s = -17s
(3 + -17s + 20s2) = 0

Solving
3 + -17s + 20s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -4s)(3 + -5s) = 0

Subproblem 1
Set the factor '(1 + -4s)' equal to zero and attempt to solve:

Simplifying
1 + -4s = 0

Solving
1 + -4s = 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 + -4s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4s = 0 + -1
-4s = 0 + -1

Combine like terms: 0 + -1 = -1
-4s = -1

Divide each side by '-4'.
s = 0.25

Simplifying
s = 0.25
Subproblem 2
Set the factor '(3 + -5s)' equal to zero and attempt to solve:

Simplifying
3 + -5s = 0

Solving
3 + -5s = 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 + -5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5s = 0 + -3
-5s = 0 + -3

Combine like terms: 0 + -3 = -3
-5s = -3

Divide each side by '-5'.
s = 0.6

Simplifying
s = 0.6
Solution
s = {0.25, 0.6}