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

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

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

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

Multiply (6 + v) * (-5 + 4v)
(6(-5 + 4v) + v(-5 + 4v)) = 0
((-5 * 6 + 4v * 6) + v(-5 + 4v)) = 0
((-30 + 24v) + v(-5 + 4v)) = 0
(-30 + 24v + (-5 * v + 4v * v)) = 0
(-30 + 24v + (-5v + 4v2)) = 0

Combine like terms: 24v + -5v = 19v
(-30 + 19v + 4v2) = 0

Solving
-30 + 19v + 4v2 = 0

Solving for variable 'v'.

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

Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve:

Simplifying
-6 + -1v = 0

Solving
-6 + -1v = 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 + -1v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1v = 0 + 6
-1v = 0 + 6

Combine like terms: 0 + 6 = 6
-1v = 6

Divide each side by '-1'.
v = -6

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

Simplifying
5 + -4v = 0

Solving
5 + -4v = 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 + -4v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4v = 0 + -5
-4v = 0 + -5

Combine like terms: 0 + -5 = -5
-4v = -5

Divide each side by '-4'.
v = 1.25

Simplifying
v = 1.25
Solution
v = {-6, 1.25}