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Simplifying 10v2 + -13v + -9 = 0 Reorder the terms: -9 + -13v + 10v2 = 0 Solving -9 + -13v + 10v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -2v)(9 + -5v) = 0Subproblem 1
Set the factor '(-1 + -2v)' equal to zero and attempt to solve: Simplifying -1 + -2v = 0 Solving -1 + -2v = 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 + -2v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2v = 0 + 1 -2v = 0 + 1 Combine like terms: 0 + 1 = 1 -2v = 1 Divide each side by '-2'. v = -0.5 Simplifying v = -0.5Subproblem 2
Set the factor '(9 + -5v)' equal to zero and attempt to solve: Simplifying 9 + -5v = 0 Solving 9 + -5v = 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 + -5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5v = 0 + -9 -5v = 0 + -9 Combine like terms: 0 + -9 = -9 -5v = -9 Divide each side by '-5'. v = 1.8 Simplifying v = 1.8Solution
v = {-0.5, 1.8}
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