(s-4)(2s+6)=

Solution for (s-4)(2s+6)= equation:

Simplifying
(s + -4)(2s + 6) = 0

Reorder the terms:
(-4 + s)(2s + 6) = 0

Reorder the terms:
(-4 + s)(6 + 2s) = 0

Multiply (-4 + s) * (6 + 2s)
(-4(6 + 2s) + s(6 + 2s)) = 0
((6 * -4 + 2s * -4) + s(6 + 2s)) = 0
((-24 + -8s) + s(6 + 2s)) = 0
(-24 + -8s + (6 * s + 2s * s)) = 0
(-24 + -8s + (6s + 2s2)) = 0

Combine like terms: -8s + 6s = -2s
(-24 + -2s + 2s2) = 0

Solving
-24 + -2s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -1s + s2) = 0

Factor a trinomial.
2((-3 + -1s)(4 + -1s)) = 0

Ignore the factor 2.
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}