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Simplifying (3v + -5)(1 + -1v) = 0 Reorder the terms: (-5 + 3v)(1 + -1v) = 0 Multiply (-5 + 3v) * (1 + -1v) (-5(1 + -1v) + 3v * (1 + -1v)) = 0 ((1 * -5 + -1v * -5) + 3v * (1 + -1v)) = 0 ((-5 + 5v) + 3v * (1 + -1v)) = 0 (-5 + 5v + (1 * 3v + -1v * 3v)) = 0 (-5 + 5v + (3v + -3v2)) = 0 Combine like terms: 5v + 3v = 8v (-5 + 8v + -3v2) = 0 Solving -5 + 8v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + 3v)(1 + -1v) = 0Subproblem 1
Set the factor '(-5 + 3v)' equal to zero and attempt to solve: Simplifying -5 + 3v = 0 Solving -5 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = 0 + 5 3v = 0 + 5 Combine like terms: 0 + 5 = 5 3v = 5 Divide each side by '3'. v = 1.666666667 Simplifying v = 1.666666667Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {1.666666667, 1}
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