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

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


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

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

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

Multiply (3 + v) * (5 + v)
4v(3(5 + v) + v(5 + v)) = 0
4v((5 * 3 + v * 3) + v(5 + v)) = 0
4v((15 + 3v) + v(5 + v)) = 0
4v(15 + 3v + (5 * v + v * v)) = 0
4v(15 + 3v + (5v + v2)) = 0

Combine like terms: 3v + 5v = 8v
4v(15 + 8v + v2) = 0
(15 * 4v + 8v * 4v + v2 * 4v) = 0
(60v + 32v2 + 4v3) = 0

Solving
60v + 32v2 + 4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(15 + 8v + v2) = 0

Factor a trinomial.
4v((5 + v)(3 + v)) = 0

Ignore the factor 4.

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 '(3 + v)' equal to zero and attempt to solve:

Simplifying
3 + v = 0

Solving
3 + v = 0

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

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

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

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

Simplifying
v = -3
Solution
v = {0, -5, -3}

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