(3v-2)(8-v)=0

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Solution for (3v-2)(8-v)=0 equation: 


Simplifying
(3v + -2)(8 + -1v) = 0

Reorder the terms:
(-2 + 3v)(8 + -1v) = 0

Multiply (-2 + 3v) * (8 + -1v)
(-2(8 + -1v) + 3v * (8 + -1v)) = 0
((8 * -2 + -1v * -2) + 3v * (8 + -1v)) = 0
((-16 + 2v) + 3v * (8 + -1v)) = 0
(-16 + 2v + (8 * 3v + -1v * 3v)) = 0
(-16 + 2v + (24v + -3v2)) = 0

Combine like terms: 2v + 24v = 26v
(-16 + 26v + -3v2) = 0

Solving
-16 + 26v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(2 + -3v) = 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 '(2 + -3v)' equal to zero and attempt to solve:

Simplifying
2 + -3v = 0

Solving
2 + -3v = 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 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {8, 0.6666666667}

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