3(6s+12)(-10s-6)=0

Solution for 3(6s+12)(-10s-6)=0 equation:

Simplifying
3(6s + 12)(-10s + -6) = 0

Reorder the terms:
3(12 + 6s)(-10s + -6) = 0

Reorder the terms:
3(12 + 6s)(-6 + -10s) = 0

Multiply (12 + 6s) * (-6 + -10s)
3(12(-6 + -10s) + 6s * (-6 + -10s)) = 0
3((-6 * 12 + -10s * 12) + 6s * (-6 + -10s)) = 0
3((-72 + -120s) + 6s * (-6 + -10s)) = 0
3(-72 + -120s + (-6 * 6s + -10s * 6s)) = 0
3(-72 + -120s + (-36s + -60s2)) = 0

Combine like terms: -120s + -36s = -156s
3(-72 + -156s + -60s2) = 0
(-72 * 3 + -156s * 3 + -60s2 * 3) = 0
(-216 + -468s + -180s2) = 0

Solving
-216 + -468s + -180s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '-36'.
-36(6 + 13s + 5s2) = 0

Factor a trinomial.
-36((2 + s)(3 + 5s)) = 0

Ignore the factor -36.
Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

Move all terms containing s to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + s = 0 + -2

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

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

Simplifying
s = -2
Subproblem 2
Set the factor '(3 + 5s)' equal to zero and attempt to solve:

Simplifying
3 + 5s = 0

Solving
3 + 5s = 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 + 5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5s = 0 + -3
5s = 0 + -3

Combine like terms: 0 + -3 = -3
5s = -3

Divide each side by '5'.
s = -0.6

Simplifying
s = -0.6
Solution
s = {-2, -0.6}