(3v-4)(8+v)=0

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Solution for (3v-4)(8+v)=0 equation: 


Simplifying
(3v + -4)(8 + v) = 0

Reorder the terms:
(-4 + 3v)(8 + v) = 0

Multiply (-4 + 3v) * (8 + v)
(-4(8 + v) + 3v * (8 + v)) = 0
((8 * -4 + v * -4) + 3v * (8 + v)) = 0
((-32 + -4v) + 3v * (8 + v)) = 0
(-32 + -4v + (8 * 3v + v * 3v)) = 0
(-32 + -4v + (24v + 3v2)) = 0

Combine like terms: -4v + 24v = 20v
(-32 + 20v + 3v2) = 0

Solving
-32 + 20v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(4 + -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 '(4 + -3v)' equal to zero and attempt to solve:

Simplifying
4 + -3v = 0

Solving
4 + -3v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3v = 0 + -4
-3v = 0 + -4

Combine like terms: 0 + -4 = -4
-3v = -4

Divide each side by '-3'.
v = 1.333333333

Simplifying
v = 1.333333333
Solution
v = {-8, 1.333333333}

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