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

Solution for (3-v)(5v+2)=0 equation:

Simplifying
(3 + -1v)(5v + 2) = 0

Reorder the terms:
(3 + -1v)(2 + 5v) = 0

Multiply (3 + -1v) * (2 + 5v)
(3(2 + 5v) + -1v * (2 + 5v)) = 0
((2 * 3 + 5v * 3) + -1v * (2 + 5v)) = 0
((6 + 15v) + -1v * (2 + 5v)) = 0
(6 + 15v + (2 * -1v + 5v * -1v)) = 0
(6 + 15v + (-2v + -5v2)) = 0

Combine like terms: 15v + -2v = 13v
(6 + 13v + -5v2) = 0

Solving
6 + 13v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + -1v)(2 + 5v) = 0

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

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Subproblem 2
Set the factor '(2 + 5v)' equal to zero and attempt to solve:

Simplifying
2 + 5v = 0

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

Combine like terms: 2 + -2 = 0
0 + 5v = 0 + -2
5v = 0 + -2

Combine like terms: 0 + -2 = -2
5v = -2

Divide each side by '5'.
v = -0.4

Simplifying
v = -0.4
Solution
v = {3, -0.4}