3v^2=-27v

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Solution for 3v^2=-27v equation:


Simplifying
3v2 = -27v

Solving
3v2 = -27v

Solving for variable 'v'.

Reorder the terms:
27v + 3v2 = -27v + 27v

Combine like terms: -27v + 27v = 0
27v + 3v2 = 0

Factor out the Greatest Common Factor (GCF), '3v'.
3v(9 + 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 '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 v = -9 Simplifying v = -9

Solution

v = {0, -9}

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