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

Solution for (5-v)(2v+1)=0 equation:

Simplifying
(5 + -1v)(2v + 1) = 0

Reorder the terms:
(5 + -1v)(1 + 2v) = 0

Multiply (5 + -1v) * (1 + 2v)
(5(1 + 2v) + -1v * (1 + 2v)) = 0
((1 * 5 + 2v * 5) + -1v * (1 + 2v)) = 0
((5 + 10v) + -1v * (1 + 2v)) = 0
(5 + 10v + (1 * -1v + 2v * -1v)) = 0
(5 + 10v + (-1v + -2v2)) = 0

Combine like terms: 10v + -1v = 9v
(5 + 9v + -2v2) = 0

Solving
5 + 9v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -1v)(1 + 2v) = 0

Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 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 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve:

Simplifying
1 + 2v = 0

Solving
1 + 2v = 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 + 2v = 0 + -1

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

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

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

Simplifying
v = -0.5
Solution
v = {5, -0.5}