(2s-10)(s-4)=0

Solution for (2s-10)(s-4)=0 equation:

Simplifying
(2s + -10)(s + -4) = 0

Reorder the terms:
(-10 + 2s)(s + -4) = 0

Reorder the terms:
(-10 + 2s)(-4 + s) = 0

Multiply (-10 + 2s) * (-4 + s)
(-10(-4 + s) + 2s * (-4 + s)) = 0
((-4 * -10 + s * -10) + 2s * (-4 + s)) = 0
((40 + -10s) + 2s * (-4 + s)) = 0
(40 + -10s + (-4 * 2s + s * 2s)) = 0
(40 + -10s + (-8s + 2s2)) = 0

Combine like terms: -10s + -8s = -18s
(40 + -18s + 2s2) = 0

Solving
40 + -18s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -9s + s2) = 0

Factor a trinomial.
2((4 + -1s)(5 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

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

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

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

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {4, 5}