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Simplifying -1v2 + -6v + 91 = 0 Reorder the terms: 91 + -6v + -1v2 = 0 Solving 91 + -6v + -1v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -1v)(13 + v) = 0Subproblem 1
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Subproblem 2
Set the factor '(13 + v)' equal to zero and attempt to solve: Simplifying 13 + v = 0 Solving 13 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + v = 0 + -13 v = 0 + -13 Combine like terms: 0 + -13 = -13 v = -13 Simplifying v = -13Solution
v = {7, -13}
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