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Simplifying v2 + 14v + 48 = 8 Reorder the terms: 48 + 14v + v2 = 8 Solving 48 + 14v + v2 = 8 Solving for variable 'v'. Reorder the terms: 48 + -8 + 14v + v2 = 8 + -8 Combine like terms: 48 + -8 = 40 40 + 14v + v2 = 8 + -8 Combine like terms: 8 + -8 = 0 40 + 14v + v2 = 0 Factor a trinomial. (10 + v)(4 + v) = 0Subproblem 1
Set the factor '(10 + v)' equal to zero and attempt to solve: Simplifying 10 + v = 0 Solving 10 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + v = 0 + -10 v = 0 + -10 Combine like terms: 0 + -10 = -10 v = -10 Simplifying v = -10Subproblem 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 = {-10, -4}
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