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

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

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

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

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

Combine like terms: 20v + 6v = 26v
(-24 + 26v + -5v2) = 0

Solving
-24 + 26v + -5v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-4 + v = 0

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

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

Combine like terms: 0 + 4 = 4
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}