(2s-3)(s-1)=0

Solution for (2s-3)(s-1)=0 equation:

Simplifying
(2s + -3)(s + -1) = 0

Reorder the terms:
(-3 + 2s)(s + -1) = 0

Reorder the terms:
(-3 + 2s)(-1 + s) = 0

Multiply (-3 + 2s) * (-1 + s)
(-3(-1 + s) + 2s * (-1 + s)) = 0
((-1 * -3 + s * -3) + 2s * (-1 + s)) = 0
((3 + -3s) + 2s * (-1 + s)) = 0
(3 + -3s + (-1 * 2s + s * 2s)) = 0
(3 + -3s + (-2s + 2s2)) = 0

Combine like terms: -3s + -2s = -5s
(3 + -5s + 2s2) = 0

Solving
3 + -5s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -1s)(3 + -2s) = 0

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

Simplifying
1 + -1s = 0

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

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

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

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

Simplifying
s = 1
Subproblem 2
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
Solution
s = {1, 1.5}