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Simplifying 64v3 + -9v = 0 Reorder the terms: -9v + 64v3 = 0 Solving -9v + 64v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-9 + 64v2) = 0 Factor a difference between two squares. v((3 + 8v)(-3 + 8v)) = 0Subproblem 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 '(3 + 8v)' equal to zero and attempt to solve: Simplifying 3 + 8v = 0 Solving 3 + 8v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8v = 0 + -3 8v = 0 + -3 Combine like terms: 0 + -3 = -3 8v = -3 Divide each side by '8'. v = -0.375 Simplifying v = -0.375Subproblem 3
Set the factor '(-3 + 8v)' equal to zero and attempt to solve: Simplifying -3 + 8v = 0 Solving -3 + 8v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8v = 0 + 3 8v = 0 + 3 Combine like terms: 0 + 3 = 3 8v = 3 Divide each side by '8'. v = 0.375 Simplifying v = 0.375Solution
v = {0, -0.375, 0.375}
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