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Simplifying 6v2 = 56 + 5v Solving 6v2 = 56 + 5v Solving for variable 'v'. Reorder the terms: -56 + -5v + 6v2 = 56 + 5v + -56 + -5v Reorder the terms: -56 + -5v + 6v2 = 56 + -56 + 5v + -5v Combine like terms: 56 + -56 = 0 -56 + -5v + 6v2 = 0 + 5v + -5v -56 + -5v + 6v2 = 5v + -5v Combine like terms: 5v + -5v = 0 -56 + -5v + 6v2 = 0 Factor a trinomial. (-8 + -3v)(7 + -2v) = 0Subproblem 1
Set the factor '(-8 + -3v)' equal to zero and attempt to solve: Simplifying -8 + -3v = 0 Solving -8 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3v = 0 + 8 -3v = 0 + 8 Combine like terms: 0 + 8 = 8 -3v = 8 Divide each side by '-3'. v = -2.666666667 Simplifying v = -2.666666667Subproblem 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 = {-2.666666667, 3.5}
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