v^2=-5v

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Solution for v^2=-5v equation:


Simplifying
v2 = -5v

Solving
v2 = -5v

Solving for variable 'v'.

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

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

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

Solution

v = {0, -5}

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