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Simplifying 9v3 + -54v2 + 80v = 0 Reorder the terms: 80v + -54v2 + 9v3 = 0 Solving 80v + -54v2 + 9v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(80 + -54v + 9v2) = 0 Factor a trinomial. v((8 + -3v)(10 + -3v)) = 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 '(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 = 2.666666667Subproblem 3
Set the factor '(10 + -3v)' equal to zero and attempt to solve: Simplifying 10 + -3v = 0 Solving 10 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3v = 0 + -10 -3v = 0 + -10 Combine like terms: 0 + -10 = -10 -3v = -10 Divide each side by '-3'. v = 3.333333333 Simplifying v = 3.333333333Solution
v = {0, 2.666666667, 3.333333333}
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