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

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

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

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

Multiply (-5 + 4v) * (6 + -1v)
(-5(6 + -1v) + 4v * (6 + -1v)) = 0
((6 * -5 + -1v * -5) + 4v * (6 + -1v)) = 0
((-30 + 5v) + 4v * (6 + -1v)) = 0
(-30 + 5v + (6 * 4v + -1v * 4v)) = 0
(-30 + 5v + (24v + -4v2)) = 0

Combine like terms: 5v + 24v = 29v
(-30 + 29v + -4v2) = 0

Solving
-30 + 29v + -4v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-6 + v = 0

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

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

Combine like terms: 0 + 6 = 6
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}