5v^2=40v

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Solution for 5v^2=40v equation:


Simplifying
5v2 = 40v

Solving
5v2 = 40v

Solving for variable 'v'.

Reorder the terms:
-40v + 5v2 = 40v + -40v

Combine like terms: 40v + -40v = 0
-40v + 5v2 = 0

Factor out the Greatest Common Factor (GCF), '5v'.
5v(-8 + 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 '(-8 + v)' equal to zero and attempt to solve: Simplifying -8 + v = 0 Solving -8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + v = 0 + 8 v = 0 + 8 Combine like terms: 0 + 8 = 8 v = 8 Simplifying v = 8

Solution

v = {0, 8}

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