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

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

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

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

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

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