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Simplifying 33v2 + -49v + 18 = 0 Reorder the terms: 18 + -49v + 33v2 = 0 Solving 18 + -49v + 33v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + -3v)(9 + -11v) = 0Subproblem 1
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 = 0.6666666667Subproblem 2
Set the factor '(9 + -11v)' equal to zero and attempt to solve: Simplifying 9 + -11v = 0 Solving 9 + -11v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -11v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11v = 0 + -9 -11v = 0 + -9 Combine like terms: 0 + -9 = -9 -11v = -9 Divide each side by '-11'. v = 0.8181818182 Simplifying v = 0.8181818182Solution
v = {0.6666666667, 0.8181818182}
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