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Simplifying v2 + 11v + 19 = -5 Reorder the terms: 19 + 11v + v2 = -5 Solving 19 + 11v + v2 = -5 Solving for variable 'v'. Reorder the terms: 19 + 5 + 11v + v2 = -5 + 5 Combine like terms: 19 + 5 = 24 24 + 11v + v2 = -5 + 5 Combine like terms: -5 + 5 = 0 24 + 11v + v2 = 0 Factor a trinomial. (8 + v)(3 + v) = 0Subproblem 1
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 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 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {-8, -3}
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