(3v+2)(1-v)=0

Solution for (3v+2)(1-v)=0 equation:

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

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

Multiply (2 + 3v) * (1 + -1v)
(2(1 + -1v) + 3v * (1 + -1v)) = 0
((1 * 2 + -1v * 2) + 3v * (1 + -1v)) = 0
((2 + -2v) + 3v * (1 + -1v)) = 0
(2 + -2v + (1 * 3v + -1v * 3v)) = 0
(2 + -2v + (3v + -3v2)) = 0

Combine like terms: -2v + 3v = 1v
(2 + 1v + -3v2) = 0

Solving
2 + 1v + -3v2 = 0

Solving for variable 'v'.

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

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

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

Simplifying
2 + 3v = 0

Solving
2 + 3v = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3v = 0 + -2
3v = 0 + -2

Combine like terms: 0 + -2 = -2
3v = -2

Divide each side by '3'.
v = -0.6666666667

Simplifying
v = -0.6666666667
Solution
v = {1, -0.6666666667}