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

Solution for (2-v)(4v-5)=0 equation:

Simplifying
(2 + -1v)(4v + -5) = 0

Reorder the terms:
(2 + -1v)(-5 + 4v) = 0

Multiply (2 + -1v) * (-5 + 4v)
(2(-5 + 4v) + -1v * (-5 + 4v)) = 0
((-5 * 2 + 4v * 2) + -1v * (-5 + 4v)) = 0
((-10 + 8v) + -1v * (-5 + 4v)) = 0
(-10 + 8v + (-5 * -1v + 4v * -1v)) = 0
(-10 + 8v + (5v + -4v2)) = 0

Combine like terms: 8v + 5v = 13v
(-10 + 13v + -4v2) = 0

Solving
-10 + 13v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + v)(5 + -4v) = 0

Subproblem 1
Set the factor '(-2 + v)' equal to zero and attempt to solve:

Simplifying
-2 + v = 0

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

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

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

Simplifying
v = 2
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 = {2, 1.25}