3v^2=-12v

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Solution for 3v^2=-12v equation:


Simplifying
3v2 = -12v

Solving
3v2 = -12v

Solving for variable 'v'.

Reorder the terms:
12v + 3v2 = -12v + 12v

Combine like terms: -12v + 12v = 0
12v + 3v2 = 0

Factor out the Greatest Common Factor (GCF), '3v'.
3v(4 + 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 '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4

Solution

v = {0, -4}

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