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Simplifying 0 = 6v2 + -10v + -24 Reorder the terms: 0 = -24 + -10v + 6v2 Solving 0 = -24 + -10v + 6v2 Solving for variable 'v'. Combine like terms: 0 + 24 = 24 24 + 10v + -6v2 = -24 + -10v + 6v2 + 24 + 10v + -6v2 Reorder the terms: 24 + 10v + -6v2 = -24 + 24 + -10v + 10v + 6v2 + -6v2 Combine like terms: -24 + 24 = 0 24 + 10v + -6v2 = 0 + -10v + 10v + 6v2 + -6v2 24 + 10v + -6v2 = -10v + 10v + 6v2 + -6v2 Combine like terms: -10v + 10v = 0 24 + 10v + -6v2 = 0 + 6v2 + -6v2 24 + 10v + -6v2 = 6v2 + -6v2 Combine like terms: 6v2 + -6v2 = 0 24 + 10v + -6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 5v + -3v2) = 0 Factor a trinomial. 2((3 + -1v)(4 + 3v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
Set the factor '(4 + 3v)' equal to zero and attempt to solve: Simplifying 4 + 3v = 0 Solving 4 + 3v = 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 + 3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = 0 + -4 3v = 0 + -4 Combine like terms: 0 + -4 = -4 3v = -4 Divide each side by '3'. v = -1.333333333 Simplifying v = -1.333333333Solution
v = {3, -1.333333333}
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