3v(v+5)(v+8)=0

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Solution for 3v(v+5)(v+8)=0 equation: 


Simplifying
3v(v + 5)(v + 8) = 0

Reorder the terms:
3v(5 + v)(v + 8) = 0

Reorder the terms:
3v(5 + v)(8 + v) = 0

Multiply (5 + v) * (8 + v)
3v(5(8 + v) + v(8 + v)) = 0
3v((8 * 5 + v * 5) + v(8 + v)) = 0
3v((40 + 5v) + v(8 + v)) = 0
3v(40 + 5v + (8 * v + v * v)) = 0
3v(40 + 5v + (8v + v2)) = 0

Combine like terms: 5v + 8v = 13v
3v(40 + 13v + v2) = 0
(40 * 3v + 13v * 3v + v2 * 3v) = 0
(120v + 39v2 + 3v3) = 0

Solving
120v + 39v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(40 + 13v + v2) = 0

Factor a trinomial.
3v((8 + v)(5 + 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

Subproblem 3
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

Add '-5' to each side of the equation.
5 + -5 + v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v = 0 + -5
v = 0 + -5

Combine like terms: 0 + -5 = -5
v = -5

Simplifying
v = -5
Solution
v = {0, -8, -5}

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