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

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

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

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

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

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

Combine like terms: -6s + 3s = -3s
(-3 + -3s + 6s2) = 0

Solving
-3 + -3s + 6s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1s + 2s2) = 0

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

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

Simplifying
-1 + -2s = 0

Solving
-1 + -2s = 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 + -2s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2s = 0 + 1
-2s = 0 + 1

Combine like terms: 0 + 1 = 1
-2s = 1

Divide each side by '-2'.
s = -0.5

Simplifying
s = -0.5
Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve:

Simplifying
1 + -1s = 0

Solving
1 + -1s = 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 + -1s = 0 + -1

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

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

Divide each side by '-1'.
s = 1

Simplifying
s = 1
Solution
s = {-0.5, 1}