-5v(v+6)(v+8)=0

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Solution for -5v(v+6)(v+8)=0 equation: 


Simplifying
-5v(v + 6)(v + 8) = 0

Reorder the terms:
-5v(6 + v)(v + 8) = 0

Reorder the terms:
-5v(6 + v)(8 + v) = 0

Multiply (6 + v) * (8 + v)
-5v(6(8 + v) + v(8 + v)) = 0
-5v((8 * 6 + v * 6) + v(8 + v)) = 0
-5v((48 + 6v) + v(8 + v)) = 0
-5v(48 + 6v + (8 * v + v * v)) = 0
-5v(48 + 6v + (8v + v2)) = 0

Combine like terms: 6v + 8v = 14v
-5v(48 + 14v + v2) = 0
(48 * -5v + 14v * -5v + v2 * -5v) = 0
(-240v + -70v2 + -5v3) = 0

Solving
-240v + -70v2 + -5v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-5v'.
-5v(48 + 14v + v2) = 0

Factor a trinomial.
-5v((8 + v)(6 + v)) = 0

Ignore the factor -5.

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

Simplifying
6 + v = 0

Solving
6 + v = 0

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

Add '-6' to each side of the equation.
6 + -6 + v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Solution
v = {0, -8, -6}

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