v^2=-12v

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Solution for v^2=-12v equation:


Simplifying
v2 = -12v

Solving
v2 = -12v

Solving for variable 'v'.

Reorder the terms:
12v + v2 = -12v + 12v

Combine like terms: -12v + 12v = 0
12v + v2 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(12 + 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 '(12 + v)' equal to zero and attempt to solve: Simplifying 12 + v = 0 Solving 12 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + v = 0 + -12 v = 0 + -12 Combine like terms: 0 + -12 = -12 v = -12 Simplifying v = -12

Solution

v = {0, -12}

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