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

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

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

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

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

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

Combine like terms: 4s + -3s = 1s
(-12 + 1s + s2) = 0

Solving
-12 + 1s + s2 = 0

Solving for variable 's'.

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