(s-6)(s-4)=0

Solution for (s-6)(s-4)=0 equation:

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

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

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

Multiply (-6 + s) * (-4 + s)
(-6(-4 + s) + s(-4 + s)) = 0
((-4 * -6 + s * -6) + s(-4 + s)) = 0
((24 + -6s) + s(-4 + s)) = 0
(24 + -6s + (-4 * s + s * s)) = 0
(24 + -6s + (-4s + s2)) = 0

Combine like terms: -6s + -4s = -10s
(24 + -10s + s2) = 0

Solving
24 + -10s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(4 + -1s)(6 + -1s) = 0

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 '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {4, 6}