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Simplifying 30v3 + 25v2 + -30v = 0 Reorder the terms: -30v + 25v2 + 30v3 = 0 Solving -30v + 25v2 + 30v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(-6 + 5v + 6v2) = 0 Factor a trinomial. 5v((-3 + -2v)(2 + -3v)) = 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 '(-3 + -2v)' equal to zero and attempt to solve: Simplifying -3 + -2v = 0 Solving -3 + -2v = 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 + -2v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2v = 0 + 3 -2v = 0 + 3 Combine like terms: 0 + 3 = 3 -2v = 3 Divide each side by '-2'. v = -1.5 Simplifying v = -1.5Subproblem 3
Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Solution
v = {0, -1.5, 0.6666666667}
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