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Simplifying 8v7 + 28v6 + 20v5 = 0 Reorder the terms: 20v5 + 28v6 + 8v7 = 0 Solving 20v5 + 28v6 + 8v7 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v5'. 4v5(5 + 7v + 2v2) = 0 Factor a trinomial. 4v5((5 + 2v)(1 + v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'v5' equal to zero and attempt to solve: Simplifying v5 = 0 Solving v5 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 2v)' equal to zero and attempt to solve: Simplifying 5 + 2v = 0 Solving 5 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 0 + -5 2v = 0 + -5 Combine like terms: 0 + -5 = -5 2v = -5 Divide each side by '2'. v = -2.5 Simplifying v = -2.5Subproblem 3
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 = {-2.5, -1}
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