(6v)(3v+2)=0

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Solution for (6v)(3v+2)=0 equation: 


Simplifying
(6v)(3v + 2) = 0

Remove parenthesis around (6v)
6v(3v + 2) = 0

Reorder the terms:
6v(2 + 3v) = 0
(2 * 6v + 3v * 6v) = 0
(12v + 18v2) = 0

Solving
12v + 18v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6v'.
6v(2 + 3v) = 0

Ignore the factor 6.

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

Simplifying
2 + 3v = 0

Solving
2 + 3v = 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 + 3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3v = 0 + -2
3v = 0 + -2

Combine like terms: 0 + -2 = -2
3v = -2

Divide each side by '3'.
v = -0.6666666667

Simplifying
v = -0.6666666667
Solution
v = {0, -0.6666666667}

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