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Simplifying 10v2 + 41v + -18 = 0 Reorder the terms: -18 + 41v + 10v2 = 0 Solving -18 + 41v + 10v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -2v)(2 + -5v) = 0Subproblem 1
Set the factor '(-9 + -2v)' equal to zero and attempt to solve: Simplifying -9 + -2v = 0 Solving -9 + -2v = 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 + -2v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2v = 0 + 9 -2v = 0 + 9 Combine like terms: 0 + 9 = 9 -2v = 9 Divide each side by '-2'. v = -4.5 Simplifying v = -4.5Subproblem 2
Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 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 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4Solution
v = {-4.5, 0.4}
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