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Simplifying 6v2 + -47v + -8 = 0 Reorder the terms: -8 + -47v + 6v2 = 0 Solving -8 + -47v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -6v)(8 + -1v) = 0Subproblem 1
Set the factor '(-1 + -6v)' equal to zero and attempt to solve: Simplifying -1 + -6v = 0 Solving -1 + -6v = 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 + -6v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6v = 0 + 1 -6v = 0 + 1 Combine like terms: 0 + 1 = 1 -6v = 1 Divide each side by '-6'. v = -0.1666666667 Simplifying v = -0.1666666667Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {-0.1666666667, 8}
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