(s-6)(s-3)=

Solution for (s-6)(s-3)= equation:

Simplifying
(s + -6)(s + -3) = 0

Reorder the terms:
(-6 + s)(s + -3) = 0

Reorder the terms:
(-6 + s)(-3 + s) = 0

Multiply (-6 + s) * (-3 + s)
(-6(-3 + s) + s(-3 + s)) = 0
((-3 * -6 + s * -6) + s(-3 + s)) = 0
((18 + -6s) + s(-3 + s)) = 0
(18 + -6s + (-3 * s + s * s)) = 0
(18 + -6s + (-3s + s2)) = 0

Combine like terms: -6s + -3s = -9s
(18 + -9s + s2) = 0

Solving
18 + -9s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + -1s)(6 + -1s) = 0

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

Simplifying
3 + -1s = 0

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

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

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

Divide each side by '-1'.
s = 3

Simplifying
s = 3
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 = {3, 6}