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Simplifying 3v2 + 21v + -40 = 2v Reorder the terms: -40 + 21v + 3v2 = 2v Solving -40 + 21v + 3v2 = 2v Solving for variable 'v'. Reorder the terms: -40 + 21v + -2v + 3v2 = 2v + -2v Combine like terms: 21v + -2v = 19v -40 + 19v + 3v2 = 2v + -2v Combine like terms: 2v + -2v = 0 -40 + 19v + 3v2 = 0 Factor a trinomial. (-8 + -1v)(5 + -3v) = 0Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 2
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 = 1.666666667Solution
v = {-8, 1.666666667}
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