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Simplifying -4(v + -5)(-1v + 8) = 0 Reorder the terms: -4(-5 + v)(-1v + 8) = 0 Reorder the terms: -4(-5 + v)(8 + -1v) = 0 Multiply (-5 + v) * (8 + -1v) -4(-5(8 + -1v) + v(8 + -1v)) = 0 -4((8 * -5 + -1v * -5) + v(8 + -1v)) = 0 -4((-40 + 5v) + v(8 + -1v)) = 0 -4(-40 + 5v + (8 * v + -1v * v)) = 0 -4(-40 + 5v + (8v + -1v2)) = 0 Combine like terms: 5v + 8v = 13v -4(-40 + 13v + -1v2) = 0 (-40 * -4 + 13v * -4 + -1v2 * -4) = 0 (160 + -52v + 4v2) = 0 Solving 160 + -52v + 4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(40 + -13v + v2) = 0 Factor a trinomial. 4((5 + -1v)(8 + -1v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 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 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Subproblem 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 = {5, 8}
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