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Simplifying v2 = -40 + -13v Solving v2 = -40 + -13v Solving for variable 'v'. Reorder the terms: 40 + 13v + v2 = -40 + -13v + 40 + 13v Reorder the terms: 40 + 13v + v2 = -40 + 40 + -13v + 13v Combine like terms: -40 + 40 = 0 40 + 13v + v2 = 0 + -13v + 13v 40 + 13v + v2 = -13v + 13v Combine like terms: -13v + 13v = 0 40 + 13v + v2 = 0 Factor a trinomial. (8 + v)(5 + 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 '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Solution
v = {-8, -5}
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