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

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

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

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

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

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

Combine like terms: -2s + 3s = 1s
(-2 + 1s + 3s2) = 2

Solving
-2 + 1s + 3s2 = 2

Solving for variable 's'.

Reorder the terms:
-2 + -2 + 1s + 3s2 = 2 + -2

Combine like terms: -2 + -2 = -4
-4 + 1s + 3s2 = 2 + -2

Combine like terms: 2 + -2 = 0
-4 + 1s + 3s2 = 0

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

Subproblem 1
Set the factor '(-4 + -3s)' equal to zero and attempt to solve:

Simplifying
-4 + -3s = 0

Solving
-4 + -3s = 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 + -3s = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3s = 0 + 4
-3s = 0 + 4

Combine like terms: 0 + 4 = 4
-3s = 4

Divide each side by '-3'.
s = -1.333333333

Simplifying
s = -1.333333333
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 = {-1.333333333, 1}