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Simplifying 8v2 + -23v + 14 = 0 Reorder the terms: 14 + -23v + 8v2 = 0 Solving 14 + -23v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -8v)(2 + -1v) = 0Subproblem 1
Set the factor '(7 + -8v)' equal to zero and attempt to solve: Simplifying 7 + -8v = 0 Solving 7 + -8v = 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 + -8v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8v = 0 + -7 -8v = 0 + -7 Combine like terms: 0 + -7 = -7 -8v = -7 Divide each side by '-8'. v = 0.875 Simplifying v = 0.875Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {0.875, 2}
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