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Simplifying (8v + -7)(v + -6) = 0 Reorder the terms: (-7 + 8v)(v + -6) = 0 Reorder the terms: (-7 + 8v)(-6 + v) = 0 Multiply (-7 + 8v) * (-6 + v) (-7(-6 + v) + 8v * (-6 + v)) = 0 ((-6 * -7 + v * -7) + 8v * (-6 + v)) = 0 ((42 + -7v) + 8v * (-6 + v)) = 0 (42 + -7v + (-6 * 8v + v * 8v)) = 0 (42 + -7v + (-48v + 8v2)) = 0 Combine like terms: -7v + -48v = -55v (42 + -55v + 8v2) = 0 Solving 42 + -55v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -8v)(6 + -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 '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 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 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {0.875, 6}
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