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Simplifying 8v2 + -42v + 27 = 0 Reorder the terms: 27 + -42v + 8v2 = 0 Solving 27 + -42v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -4v)(9 + -2v) = 0Subproblem 1
Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 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 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75Subproblem 2
Set the factor '(9 + -2v)' equal to zero and attempt to solve: Simplifying 9 + -2v = 0 Solving 9 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = 0 + -9 -2v = 0 + -9 Combine like terms: 0 + -9 = -9 -2v = -9 Divide each side by '-2'. v = 4.5 Simplifying v = 4.5Solution
v = {0.75, 4.5}
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