(4v-5)(8-v)=0

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Solution for (4v-5)(8-v)=0 equation: 


Simplifying
(4v + -5)(8 + -1v) = 0

Reorder the terms:
(-5 + 4v)(8 + -1v) = 0

Multiply (-5 + 4v) * (8 + -1v)
(-5(8 + -1v) + 4v * (8 + -1v)) = 0
((8 * -5 + -1v * -5) + 4v * (8 + -1v)) = 0
((-40 + 5v) + 4v * (8 + -1v)) = 0
(-40 + 5v + (8 * 4v + -1v * 4v)) = 0
(-40 + 5v + (32v + -4v2)) = 0

Combine like terms: 5v + 32v = 37v
(-40 + 37v + -4v2) = 0

Solving
-40 + 37v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(5 + -4v) = 0


Subproblem 1
Set the factor '(-8 + v)' equal to zero and attempt to solve:

Simplifying
-8 + v = 0

Solving
-8 + v = 0

Move all terms containing v to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + v = 0 + 8
v = 0 + 8

Combine like terms: 0 + 8 = 8
v = 8

Simplifying
v = 8

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 = {8, 1.25}

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