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Simplifying 2v2 + -42 = 17v Reorder the terms: -42 + 2v2 = 17v Solving -42 + 2v2 = 17v Solving for variable 'v'. Reorder the terms: -42 + -17v + 2v2 = 17v + -17v Combine like terms: 17v + -17v = 0 -42 + -17v + 2v2 = 0 Factor a trinomial. (-2 + -1v)(21 + -2v) = 0Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 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 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 2
Set the factor '(21 + -2v)' equal to zero and attempt to solve: Simplifying 21 + -2v = 0 Solving 21 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2v = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2v = 0 + -21 -2v = 0 + -21 Combine like terms: 0 + -21 = -21 -2v = -21 Divide each side by '-2'. v = 10.5 Simplifying v = 10.5Solution
v = {-2, 10.5}
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