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Simplifying 16v2 + -38v + 21 = 0 Reorder the terms: 21 + -38v + 16v2 = 0 Solving 21 + -38v + 16v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -8v)(3 + -2v) = 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 '(3 + -2v)' equal to zero and attempt to solve: Simplifying 3 + -2v = 0 Solving 3 + -2v = 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 + -2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2v = 0 + -3 -2v = 0 + -3 Combine like terms: 0 + -3 = -3 -2v = -3 Divide each side by '-2'. v = 1.5 Simplifying v = 1.5Solution
v = {0.875, 1.5}
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