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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