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

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Solution for (3v-8)(2v-1)=0 equation: 


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

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

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

Multiply (-8 + 3v) * (-1 + 2v)
(-8(-1 + 2v) + 3v * (-1 + 2v)) = 0
((-1 * -8 + 2v * -8) + 3v * (-1 + 2v)) = 0
((8 + -16v) + 3v * (-1 + 2v)) = 0
(8 + -16v + (-1 * 3v + 2v * 3v)) = 0
(8 + -16v + (-3v + 6v2)) = 0

Combine like terms: -16v + -3v = -19v
(8 + -19v + 6v2) = 0

Solving
8 + -19v + 6v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -2v)(8 + -3v) = 0


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

Simplifying
1 + -2v = 0

Solving
1 + -2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2v = 0 + -1

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

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

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5

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 = {0.5, 2.666666667}

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