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Simplifying 20v2 + -21v = 5 Reorder the terms: -21v + 20v2 = 5 Solving -21v + 20v2 = 5 Solving for variable 'v'. Reorder the terms: -5 + -21v + 20v2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -21v + 20v2 = 0 Factor a trinomial. (-1 + -5v)(5 + -4v) = 0Subproblem 1
Set the factor '(-1 + -5v)' equal to zero and attempt to solve: Simplifying -1 + -5v = 0 Solving -1 + -5v = 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 + -5v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5v = 0 + 1 -5v = 0 + 1 Combine like terms: 0 + 1 = 1 -5v = 1 Divide each side by '-5'. v = -0.2 Simplifying v = -0.2Subproblem 2
Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 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 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Divide each side by '-4'. v = 1.25 Simplifying v = 1.25Solution
v = {-0.2, 1.25}
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