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Simplifying 6v2 + 14v + -6v + -14 = 0 Reorder the terms: -14 + 14v + -6v + 6v2 = 0 Combine like terms: 14v + -6v = 8v -14 + 8v + 6v2 = 0 Solving -14 + 8v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 4v + 3v2) = 0 Factor a trinomial. 2((-7 + -3v)(1 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -3v)' equal to zero and attempt to solve: Simplifying -7 + -3v = 0 Solving -7 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3v = 0 + 7 -3v = 0 + 7 Combine like terms: 0 + 7 = 7 -3v = 7 Divide each side by '-3'. v = -2.333333333 Simplifying v = -2.333333333Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {-2.333333333, 1}
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