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Simplifying 6v2 + -3v + -15 = -2v Reorder the terms: -15 + -3v + 6v2 = -2v Solving -15 + -3v + 6v2 = -2v Solving for variable 'v'. Reorder the terms: -15 + -3v + 2v + 6v2 = -2v + 2v Combine like terms: -3v + 2v = -1v -15 + -1v + 6v2 = -2v + 2v Combine like terms: -2v + 2v = 0 -15 + -1v + 6v2 = 0 Factor a trinomial. (-3 + -2v)(5 + -3v) = 0Subproblem 1
Set the factor '(-3 + -2v)' equal to zero and attempt to solve: Simplifying -3 + -2v = 0 Solving -3 + -2v = 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 + -2v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2v = 0 + 3 -2v = 0 + 3 Combine like terms: 0 + 3 = 3 -2v = 3 Divide each side by '-2'. v = -1.5 Simplifying v = -1.5Subproblem 2
Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {-1.5, 1.666666667}
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