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Simplifying 21v2 + 48v + 27 = 0 Reorder the terms: 27 + 48v + 21v2 = 0 Solving 27 + 48v + 21v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3'. 3(9 + 16v + 7v2) = 0 Factor a trinomial. 3((9 + 7v)(1 + v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + 7v)' equal to zero and attempt to solve: Simplifying 9 + 7v = 0 Solving 9 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7v = 0 + -9 7v = 0 + -9 Combine like terms: 0 + -9 = -9 7v = -9 Divide each side by '7'. v = -1.285714286 Simplifying v = -1.285714286Subproblem 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 = {-1.285714286, -1}
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