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

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


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

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

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

Combine like terms: -8v + 6v = -2v
(-16 + -2v + 3v2) = 0

Solving
-16 + -2v + 3v2 = 0

Solving for variable 'v'.

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


Subproblem 1
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

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 = {-2, 2.666666667}

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