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Simplifying -3(v + -8)(-1v + 5) = 0 Reorder the terms: -3(-8 + v)(-1v + 5) = 0 Reorder the terms: -3(-8 + v)(5 + -1v) = 0 Multiply (-8 + v) * (5 + -1v) -3(-8(5 + -1v) + v(5 + -1v)) = 0 -3((5 * -8 + -1v * -8) + v(5 + -1v)) = 0 -3((-40 + 8v) + v(5 + -1v)) = 0 -3(-40 + 8v + (5 * v + -1v * v)) = 0 -3(-40 + 8v + (5v + -1v2)) = 0 Combine like terms: 8v + 5v = 13v -3(-40 + 13v + -1v2) = 0 (-40 * -3 + 13v * -3 + -1v2 * -3) = 0 (120 + -39v + 3v2) = 0 Solving 120 + -39v + 3v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3'. 3(40 + -13v + v2) = 0 Factor a trinomial. 3((5 + -1v)(8 + -1v)) = 0 Ignore the factor 3.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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