(3v+5)(1-v)=0

Solution for (3v+5)(1-v)=0 equation:

Simplifying
(3v + 5)(1 + -1v) = 0

Reorder the terms:
(5 + 3v)(1 + -1v) = 0

Multiply (5 + 3v) * (1 + -1v)
(5(1 + -1v) + 3v * (1 + -1v)) = 0
((1 * 5 + -1v * 5) + 3v * (1 + -1v)) = 0
((5 + -5v) + 3v * (1 + -1v)) = 0
(5 + -5v + (1 * 3v + -1v * 3v)) = 0
(5 + -5v + (3v + -3v2)) = 0

Combine like terms: -5v + 3v = -2v
(5 + -2v + -3v2) = 0

Solving
5 + -2v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -1v)(5 + 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 '(5 + 3v)' equal to zero and attempt to solve:

Simplifying
5 + 3v = 0

Solving
5 + 3v = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3v = 0 + -5

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

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

Divide each side by '3'.
v = -1.666666667

Simplifying
v = -1.666666667
Solution
v = {1, -1.666666667}