3v(v+2w)=

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Solution for 3v(v+2w)= equation: 


Simplifying
3v(v + 2w) = 0
(v * 3v + 2w * 3v) = 0

Reorder the terms:
(6vw + 3v2) = 0
(6vw + 3v2) = 0

Solving
6vw + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(2w + v) = 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 '(2w + v)' equal to zero and attempt to solve:

Simplifying
2w + v = 0

Reorder the terms:
v + 2w = 0

Solving
v + 2w = 0

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

Add '-2w' to each side of the equation.
v + 2w + -2w = 0 + -2w

Combine like terms: 2w + -2w = 0
v + 0 = 0 + -2w
v = 0 + -2w
Remove the zero:
v = -2w

Simplifying
v = -2w
Solution
v = {0, -2w}

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