(6s+2)(3s+1)=

Solution for (6s+2)(3s+1)= equation:

Simplifying
(6s + 2)(3s + 1) = 0

Reorder the terms:
(2 + 6s)(3s + 1) = 0

Reorder the terms:
(2 + 6s)(1 + 3s) = 0

Multiply (2 + 6s) * (1 + 3s)
(2(1 + 3s) + 6s * (1 + 3s)) = 0
((1 * 2 + 3s * 2) + 6s * (1 + 3s)) = 0
((2 + 6s) + 6s * (1 + 3s)) = 0
(2 + 6s + (1 * 6s + 3s * 6s)) = 0
(2 + 6s + (6s + 18s2)) = 0

Combine like terms: 6s + 6s = 12s
(2 + 12s + 18s2) = 0

Solving
2 + 12s + 18s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 6s + 9s2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + 3s)' equal to zero and attempt to solve:

Simplifying
1 + 3s = 0

Solving
1 + 3s = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3s = 0 + -1
3s = 0 + -1

Combine like terms: 0 + -1 = -1
3s = -1

Divide each side by '3'.
s = -0.3333333333

Simplifying
s = -0.3333333333
Subproblem 2
Set the factor '(1 + 3s)' equal to zero and attempt to solve:

Simplifying
1 + 3s = 0

Solving
1 + 3s = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3s = 0 + -1
3s = 0 + -1

Combine like terms: 0 + -1 = -1
3s = -1

Divide each side by '3'.
s = -0.3333333333

Simplifying
s = -0.3333333333
Solution
s = {-0.3333333333, -0.3333333333}