2v^2=14v

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Solution for 2v^2=14v equation:


Simplifying
2v2 = 14v

Solving
2v2 = 14v

Solving for variable 'v'.

Reorder the terms:
-14v + 2v2 = 14v + -14v

Combine like terms: 14v + -14v = 0
-14v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-7 + v) = 0

Ignore the factor 2.

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 '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7

Solution

v = {0, 7}

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