(s-3)(s-4)=0

Solution for (s-3)(s-4)=0 equation:

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

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

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

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

Combine like terms: -3s + -4s = -7s
(12 + -7s + s2) = 0

Solving
12 + -7s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + -1s)(4 + -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 '(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
Solution
s = {3, 4}