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Simplifying -9v2 + 21v + -10 = 0 Reorder the terms: -10 + 21v + -9v2 = 0 Solving -10 + 21v + -9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + 3v)(2 + -3v) = 0Subproblem 1
Set the factor '(-5 + 3v)' equal to zero and attempt to solve: Simplifying -5 + 3v = 0 Solving -5 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = 0 + 5 3v = 0 + 5 Combine like terms: 0 + 5 = 5 3v = 5 Divide each side by '3'. v = 1.666666667 Simplifying v = 1.666666667Subproblem 2
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 = {1.666666667, 0.6666666667}
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