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

Solution for (s+6)(4s-6)=0 equation:

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

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

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

Multiply (6 + s) * (-6 + 4s)
(6(-6 + 4s) + s(-6 + 4s)) = 0
((-6 * 6 + 4s * 6) + s(-6 + 4s)) = 0
((-36 + 24s) + s(-6 + 4s)) = 0
(-36 + 24s + (-6 * s + 4s * s)) = 0
(-36 + 24s + (-6s + 4s2)) = 0

Combine like terms: 24s + -6s = 18s
(-36 + 18s + 4s2) = 0

Solving
-36 + 18s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 9s + 2s2) = 0

Factor a trinomial.
2((-6 + -1s)(3 + -2s)) = 0

Ignore the factor 2.
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 '(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 = {-6, 1.5}