v^2=-14v

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Solution for v^2=-14v equation:


Simplifying
v2 = -14v

Solving
v2 = -14v

Solving for variable 'v'.

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

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

Factor out the Greatest Common Factor (GCF), 'v'.
v(14 + v) = 0

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 '(14 + v)' equal to zero and attempt to solve: Simplifying 14 + v = 0 Solving 14 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + v = 0 + -14 v = 0 + -14 Combine like terms: 0 + -14 = -14 v = -14 Simplifying v = -14

Solution

v = {0, -14}

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