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

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


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

Combine like terms: 2v + v = 3v
(3v)(8 + v) = 0

Remove parenthesis around (3v)
3v(8 + v) = 0
(8 * 3v + v * 3v) = 0
(24v + 3v2) = 0

Solving
24v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(8 + v) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
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
Solution
v = {0, -8}

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