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Simplifying v2 + 19v + 60 = 0 Reorder the terms: 60 + 19v + v2 = 0 Solving 60 + 19v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (15 + v)(4 + v) = 0Subproblem 1
Set the factor '(15 + v)' equal to zero and attempt to solve: Simplifying 15 + v = 0 Solving 15 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + v = 0 + -15 v = 0 + -15 Combine like terms: 0 + -15 = -15 v = -15 Simplifying v = -15Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {-15, -4}
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