(3v-8)(5-v)=0

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Solution for (3v-8)(5-v)=0 equation: 


Simplifying
(3v + -8)(5 + -1v) = 0

Reorder the terms:
(-8 + 3v)(5 + -1v) = 0

Multiply (-8 + 3v) * (5 + -1v)
(-8(5 + -1v) + 3v * (5 + -1v)) = 0
((5 * -8 + -1v * -8) + 3v * (5 + -1v)) = 0
((-40 + 8v) + 3v * (5 + -1v)) = 0
(-40 + 8v + (5 * 3v + -1v * 3v)) = 0
(-40 + 8v + (15v + -3v2)) = 0

Combine like terms: 8v + 15v = 23v
(-40 + 23v + -3v2) = 0

Solving
-40 + 23v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + v)(8 + -3v) = 0


Subproblem 1
Set the factor '(-5 + v)' equal to zero and attempt to solve:

Simplifying
-5 + v = 0

Solving
-5 + v = 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 + v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + v = 0 + 5
v = 0 + 5

Combine like terms: 0 + 5 = 5
v = 5

Simplifying
v = 5

Subproblem 2
Set the factor '(8 + -3v)' equal to zero and attempt to solve:

Simplifying
8 + -3v = 0

Solving
8 + -3v = 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 + -3v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3v = 0 + -8
-3v = 0 + -8

Combine like terms: 0 + -8 = -8
-3v = -8

Divide each side by '-3'.
v = 2.666666667

Simplifying
v = 2.666666667
Solution
v = {5, 2.666666667}

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