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Simplifying v2 + -20v + 101 = 10 Reorder the terms: 101 + -20v + v2 = 10 Solving 101 + -20v + v2 = 10 Solving for variable 'v'. Reorder the terms: 101 + -10 + -20v + v2 = 10 + -10 Combine like terms: 101 + -10 = 91 91 + -20v + v2 = 10 + -10 Combine like terms: 10 + -10 = 0 91 + -20v + v2 = 0 Factor a trinomial. (7 + -1v)(13 + -1v) = 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 + -1v)' equal to zero and attempt to solve: Simplifying 13 + -1v = 0 Solving 13 + -1v = 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 + -1v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1v = 0 + -13 -1v = 0 + -13 Combine like terms: 0 + -13 = -13 -1v = -13 Divide each side by '-1'. v = 13 Simplifying v = 13Solution
v = {7, 13}
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