33v^3-6v=0

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Solution for 33v^3-6v=0 equation:


Simplifying
33v3 + -6v = 0

Reorder the terms:
-6v + 33v3 = 0

Solving
-6v + 33v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(-2 + 11v2) = 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 '(-2 + 11v2)' equal to zero and attempt to solve: Simplifying -2 + 11v2 = 0 Solving -2 + 11v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11v2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11v2 = 0 + 2 11v2 = 0 + 2 Combine like terms: 0 + 2 = 2 11v2 = 2 Divide each side by '11'. v2 = 0.1818181818 Simplifying v2 = 0.1818181818 Take the square root of each side: v = {-0.426401433, 0.426401433}

Solution

v = {0, -0.426401433, 0.426401433}

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