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Simplifying v2 + -5v + -17 = 7 Reorder the terms: -17 + -5v + v2 = 7 Solving -17 + -5v + v2 = 7 Solving for variable 'v'. Reorder the terms: -17 + -7 + -5v + v2 = 7 + -7 Combine like terms: -17 + -7 = -24 -24 + -5v + v2 = 7 + -7 Combine like terms: 7 + -7 = 0 -24 + -5v + v2 = 0 Factor a trinomial. (-3 + -1v)(8 + -1v) = 0Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 2
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 = 8Solution
v = {-3, 8}
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