4v^3-6v-6v+9v=0

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Solution for 4v^3-6v-6v+9v=0 equation: 


Simplifying
4v3 + -6v + -6v + 9v = 0

Reorder the terms:
-6v + -6v + 9v + 4v3 = 0

Combine like terms: -6v + -6v = -12v
-12v + 9v + 4v3 = 0

Combine like terms: -12v + 9v = -3v
-3v + 4v3 = 0

Solving
-3v + 4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-3 + 4v2) = 0


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 '(-3 + 4v2)' equal to zero and attempt to solve:

Simplifying
-3 + 4v2 = 0

Solving
-3 + 4v2 = 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 + 4v2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4v2 = 0 + 3
4v2 = 0 + 3

Combine like terms: 0 + 3 = 3
4v2 = 3

Divide each side by '4'.
v2 = 0.75

Simplifying
v2 = 0.75

Take the square root of each side:
v = {-0.866025404, 0.866025404}
Solution
v = {0, -0.866025404, 0.866025404}

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