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Simplifying 6v2 + -13v + -28 = 0 Reorder the terms: -28 + -13v + 6v2 = 0 Solving -28 + -13v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -3v)(7 + -2v) = 0Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(7 + -2v)' equal to zero and attempt to solve: Simplifying 7 + -2v = 0 Solving 7 + -2v = 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 + -2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 0 + -7 -2v = 0 + -7 Combine like terms: 0 + -7 = -7 -2v = -7 Divide each side by '-2'. v = 3.5 Simplifying v = 3.5Solution
v = {-1.333333333, 3.5}
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