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Simplifying 0 = 6v(4 + 8v) 0 = (4 * 6v + 8v * 6v) 0 = (24v + 48v2) Solving 0 = 24v + 48v2 Solving for variable 'v'. Remove the zero: -24v + -48v2 = 24v + 48v2 + -24v + -48v2 Reorder the terms: -24v + -48v2 = 24v + -24v + 48v2 + -48v2 Combine like terms: 24v + -24v = 0 -24v + -48v2 = 0 + 48v2 + -48v2 -24v + -48v2 = 48v2 + -48v2 Combine like terms: 48v2 + -48v2 = 0 -24v + -48v2 = 0 Factor out the Greatest Common Factor (GCF), '-24v'. -24v(1 + 2v) = 0 Ignore the factor -24.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 = 0Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {0, -0.5}
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