5v^2=20v

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Solution for 5v^2=20v equation:


Simplifying
5v2 = 20v

Solving
5v2 = 20v

Solving for variable 'v'.

Reorder the terms:
-20v + 5v2 = 20v + -20v

Combine like terms: 20v + -20v = 0
-20v + 5v2 = 0

Factor out the Greatest Common Factor (GCF), '5v'.
5v(-4 + v) = 0

Ignore the factor 5.

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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