3v(v+4)(v+5)=0

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Solution for 3v(v+4)(v+5)=0 equation: 


Simplifying
3v(v + 4)(v + 5) = 0

Reorder the terms:
3v(4 + v)(v + 5) = 0

Reorder the terms:
3v(4 + v)(5 + v) = 0

Multiply (4 + v) * (5 + v)
3v(4(5 + v) + v(5 + v)) = 0
3v((5 * 4 + v * 4) + v(5 + v)) = 0
3v((20 + 4v) + v(5 + v)) = 0
3v(20 + 4v + (5 * v + v * v)) = 0
3v(20 + 4v + (5v + v2)) = 0

Combine like terms: 4v + 5v = 9v
3v(20 + 9v + v2) = 0
(20 * 3v + 9v * 3v + v2 * 3v) = 0
(60v + 27v2 + 3v3) = 0

Solving
60v + 27v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(20 + 9v + v2) = 0

Factor a trinomial.
3v((5 + v)(4 + 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 '(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

Subproblem 3
Set the factor '(4 + v)' equal to zero and attempt to solve:

Simplifying
4 + v = 0

Solving
4 + v = 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 + v = 0 + -4

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

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

Simplifying
v = -4
Solution
v = {0, -5, -4}

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