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

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

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

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

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

Combine like terms: -1v + 10v = 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}