-24v^2-108v=0

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Solution for -24v^2-108v=0 equation:


Simplifying
-24v2 + -108v = 0

Reorder the terms:
-108v + -24v2 = 0

Solving
-108v + -24v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-12v'.
-12v(9 + 2v) = 0

Ignore the factor -12.

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 '(9 + 2v)' equal to zero and attempt to solve: Simplifying 9 + 2v = 0 Solving 9 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 0 + -9 2v = 0 + -9 Combine like terms: 0 + -9 = -9 2v = -9 Divide each side by '2'. v = -4.5 Simplifying v = -4.5

Solution

v = {0, -4.5}

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