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Simplifying 6v2 + 64 = 56v Reorder the terms: 64 + 6v2 = 56v Solving 64 + 6v2 = 56v Solving for variable 'v'. Reorder the terms: 64 + -56v + 6v2 = 56v + -56v Combine like terms: 56v + -56v = 0 64 + -56v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(32 + -28v + 3v2) = 0 Factor a trinomial. 2((4 + -3v)(8 + -1v)) = 0 Ignore the factor 2.Subproblem 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 '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {1.333333333, 8}
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