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Simplifying (8v + 5)(3v + -5) = 0 Reorder the terms: (5 + 8v)(3v + -5) = 0 Reorder the terms: (5 + 8v)(-5 + 3v) = 0 Multiply (5 + 8v) * (-5 + 3v) (5(-5 + 3v) + 8v * (-5 + 3v)) = 0 ((-5 * 5 + 3v * 5) + 8v * (-5 + 3v)) = 0 ((-25 + 15v) + 8v * (-5 + 3v)) = 0 (-25 + 15v + (-5 * 8v + 3v * 8v)) = 0 (-25 + 15v + (-40v + 24v2)) = 0 Combine like terms: 15v + -40v = -25v (-25 + -25v + 24v2) = 0 Solving -25 + -25v + 24v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -8v)(5 + -3v) = 0Subproblem 1
Set the factor '(-5 + -8v)' equal to zero and attempt to solve: Simplifying -5 + -8v = 0 Solving -5 + -8v = 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 + -8v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8v = 0 + 5 -8v = 0 + 5 Combine like terms: 0 + 5 = 5 -8v = 5 Divide each side by '-8'. v = -0.625 Simplifying v = -0.625Subproblem 2
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 = 1.666666667Solution
v = {-0.625, 1.666666667}
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