(s+6)(s-4)=

Solution for (s+6)(s-4)= 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 = 2s
(-24 + 2s + s2) = 0

Solving
-24 + 2s + s2 = 0

Solving for variable 's'.

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

Subproblem 1
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
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 = {-6, 4}