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Simplifying 21v = 8v2 + -9 Reorder the terms: 21v = -9 + 8v2 Solving 21v = -9 + 8v2 Solving for variable 'v'. Reorder the terms: 9 + 21v + -8v2 = -9 + 8v2 + 9 + -8v2 Reorder the terms: 9 + 21v + -8v2 = -9 + 9 + 8v2 + -8v2 Combine like terms: -9 + 9 = 0 9 + 21v + -8v2 = 0 + 8v2 + -8v2 9 + 21v + -8v2 = 8v2 + -8v2 Combine like terms: 8v2 + -8v2 = 0 9 + 21v + -8v2 = 0 Factor a trinomial. (3 + -1v)(3 + 8v) = 0Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
Set the factor '(3 + 8v)' equal to zero and attempt to solve: Simplifying 3 + 8v = 0 Solving 3 + 8v = 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 + 8v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8v = 0 + -3 8v = 0 + -3 Combine like terms: 0 + -3 = -3 8v = -3 Divide each side by '8'. v = -0.375 Simplifying v = -0.375Solution
v = {3, -0.375}
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