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Simplifying (3 + -1v)(4v + -5) = 0 Reorder the terms: (3 + -1v)(-5 + 4v) = 0 Multiply (3 + -1v) * (-5 + 4v) (3(-5 + 4v) + -1v * (-5 + 4v)) = 0 ((-5 * 3 + 4v * 3) + -1v * (-5 + 4v)) = 0 ((-15 + 12v) + -1v * (-5 + 4v)) = 0 (-15 + 12v + (-5 * -1v + 4v * -1v)) = 0 (-15 + 12v + (5v + -4v2)) = 0 Combine like terms: 12v + 5v = 17v (-15 + 17v + -4v2) = 0 Solving -15 + 17v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(5 + -4v) = 0Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Subproblem 2
Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 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 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Divide each side by '-4'. v = 1.25 Simplifying v = 1.25Solution
v = {3, 1.25}
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