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Simplifying 8v2 + -31v + -4 = 0 Reorder the terms: -4 + -31v + 8v2 = 0 Solving -4 + -31v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -8v)(4 + -1v) = 0Subproblem 1
Set the factor '(-1 + -8v)' equal to zero and attempt to solve: Simplifying -1 + -8v = 0 Solving -1 + -8v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8v = 0 + 1 -8v = 0 + 1 Combine like terms: 0 + 1 = 1 -8v = 1 Divide each side by '-8'. v = -0.125 Simplifying v = -0.125Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-0.125, 4}
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