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

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


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

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

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

Combine like terms: -1v + 24v = 23v
(-8 + 23v + 3v2) = 0

Solving
-8 + 23v + 3v2 = 0

Solving for variable 'v'.

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


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

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 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 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8

Subproblem 2
Set the factor '(1 + -3v)' equal to zero and attempt to solve:

Simplifying
1 + -3v = 0

Solving
1 + -3v = 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 + -3v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3v = 0 + -1
-3v = 0 + -1

Combine like terms: 0 + -1 = -1
-3v = -1

Divide each side by '-3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {-8, 0.3333333333}

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