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Simplifying v2 + 16v + 28 = 0 Reorder the terms: 28 + 16v + v2 = 0 Solving 28 + 16v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (14 + v)(2 + v) = 0Subproblem 1
Set the factor '(14 + v)' equal to zero and attempt to solve: Simplifying 14 + v = 0 Solving 14 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + v = 0 + -14 v = 0 + -14 Combine like terms: 0 + -14 = -14 v = -14 Simplifying v = -14Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-14, -2}
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