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Simplifying 8v(3v + 8) = 0 Reorder the terms: 8v(8 + 3v) = 0 (8 * 8v + 3v * 8v) = 0 (64v + 24v2) = 0 Solving 64v + 24v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '8v'. 8v(8 + 3v) = 0 Ignore the factor 8.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 '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667Solution
v = {0, -2.666666667}
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