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Simplifying 9v2 + 33v + 10 = 0 Reorder the terms: 10 + 33v + 9v2 = 0 Solving 10 + 33v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (10 + 3v)(1 + 3v) = 0Subproblem 1
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 2
Set the factor '(1 + 3v)' equal to zero and attempt to solve: Simplifying 1 + 3v = 0 Solving 1 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3v = 0 + -1 3v = 0 + -1 Combine like terms: 0 + -1 = -1 3v = -1 Divide each side by '3'. v = -0.3333333333 Simplifying v = -0.3333333333Solution
v = {-3.333333333, -0.3333333333}
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