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

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

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

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

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

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

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 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 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {1.25, 2}