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Simplifying v2 + 16v + 15 = 0 Reorder the terms: 15 + 16v + v2 = 0 Solving 15 + 16v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (15 + v)(1 + 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 '(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 = {-15, -1}
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