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Simplifying 8v2 + 61v + 78 = 0 Reorder the terms: 78 + 61v + 8v2 = 0 Solving 78 + 61v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (6 + v)(13 + 8v) = 0Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Subproblem 2
Set the factor '(13 + 8v)' equal to zero and attempt to solve: Simplifying 13 + 8v = 0 Solving 13 + 8v = 0 Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 8v = 0 + -13 8v = 0 + -13 Combine like terms: 0 + -13 = -13 8v = -13 Divide each side by '8'. v = -1.625 Simplifying v = -1.625Solution
v = {-6, -1.625}
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