(5v+6)(4-v)=0

Solution for (5v+6)(4-v)=0 equation:

Simplifying
(5v + 6)(4 + -1v) = 0

Reorder the terms:
(6 + 5v)(4 + -1v) = 0

Multiply (6 + 5v) * (4 + -1v)
(6(4 + -1v) + 5v * (4 + -1v)) = 0
((4 * 6 + -1v * 6) + 5v * (4 + -1v)) = 0
((24 + -6v) + 5v * (4 + -1v)) = 0
(24 + -6v + (4 * 5v + -1v * 5v)) = 0
(24 + -6v + (20v + -5v2)) = 0

Combine like terms: -6v + 20v = 14v
(24 + 14v + -5v2) = 0

Solving
24 + 14v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + -1v)(6 + 5v) = 0

Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve:

Simplifying
4 + -1v = 0

Solving
4 + -1v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1v = 0 + -4
-1v = 0 + -4

Combine like terms: 0 + -4 = -4
-1v = -4

Divide each side by '-1'.
v = 4

Simplifying
v = 4
Subproblem 2
Set the factor '(6 + 5v)' equal to zero and attempt to solve:

Simplifying
6 + 5v = 0

Solving
6 + 5v = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5v = 0 + -6
5v = 0 + -6

Combine like terms: 0 + -6 = -6
5v = -6

Divide each side by '5'.
v = -1.2

Simplifying
v = -1.2
Solution
v = {4, -1.2}