-3v(v+16)=0

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Solution for -3v(v+16)=0 equation: 


Simplifying
-3v(v + 16) = 0

Reorder the terms:
-3v(16 + v) = 0
(16 * -3v + v * -3v) = 0
(-48v + -3v2) = 0

Solving
-48v + -3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-3v'.
-3v(16 + 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 '(16 + v)' equal to zero and attempt to solve:

Simplifying
16 + v = 0

Solving
16 + v = 0

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

Add '-16' to each side of the equation.
16 + -16 + v = 0 + -16

Combine like terms: 16 + -16 = 0
0 + v = 0 + -16
v = 0 + -16

Combine like terms: 0 + -16 = -16
v = -16

Simplifying
v = -16
Solution
v = {0, -16}

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