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Simplifying v2 + 14v + 22 = 9 Reorder the terms: 22 + 14v + v2 = 9 Solving 22 + 14v + v2 = 9 Solving for variable 'v'. Reorder the terms: 22 + -9 + 14v + v2 = 9 + -9 Combine like terms: 22 + -9 = 13 13 + 14v + v2 = 9 + -9 Combine like terms: 9 + -9 = 0 13 + 14v + v2 = 0 Factor a trinomial. (13 + v)(1 + v) = 0Subproblem 1
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 = -13Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {-13, -1}
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