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

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

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

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

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

Multiply (-6 + 4s) * (4 + s)
(-6(4 + s) + 4s * (4 + s)) = 0
((4 * -6 + s * -6) + 4s * (4 + s)) = 0
((-24 + -6s) + 4s * (4 + s)) = 0
(-24 + -6s + (4 * 4s + s * 4s)) = 0
(-24 + -6s + (16s + 4s2)) = 0

Combine like terms: -6s + 16s = 10s
(-24 + 10s + 4s2) = 0

Solving
-24 + 10s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 5s + 2s2) = 0

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

Ignore the factor 2.
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 + -2s)' equal to zero and attempt to solve:

Simplifying
3 + -2s = 0

Solving
3 + -2s = 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 + -2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2s = 0 + -3
-2s = 0 + -3

Combine like terms: 0 + -3 = -3
-2s = -3

Divide each side by '-2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {-4, 1.5}