6v^3-8v-8v=0

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Solution for 6v^3-8v-8v=0 equation: 


Simplifying
6v3 + -8v + -8v = 0

Reorder the terms:
-8v + -8v + 6v3 = 0

Combine like terms: -8v + -8v = -16v
-16v + 6v3 = 0

Solving
-16v + 6v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-8 + 3v2) = 0

Ignore the factor 2.

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 + 3v2)' equal to zero and attempt to solve:

Simplifying
-8 + 3v2 = 0

Solving
-8 + 3v2 = 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 + 3v2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3v2 = 0 + 8
3v2 = 0 + 8

Combine like terms: 0 + 8 = 8
3v2 = 8

Divide each side by '3'.
v2 = 2.666666667

Simplifying
v2 = 2.666666667

Take the square root of each side:
v = {-1.632993162, 1.632993162}
Solution
v = {0, -1.632993162, 1.632993162}

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