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Simplifying 15v3 + -170v2 + 400v = 0 Reorder the terms: 400v + -170v2 + 15v3 = 0 Solving 400v + -170v2 + 15v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(80 + -34v + 3v2) = 0 Factor a trinomial. 5v((10 + -3v)(8 + -1v)) = 0 Ignore the factor 5.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 '(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 = 3.333333333Subproblem 3
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {0, 3.333333333, 8}
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