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Simplifying (4v + -3)(v + -5) = 0 Reorder the terms: (-3 + 4v)(v + -5) = 0 Reorder the terms: (-3 + 4v)(-5 + v) = 0 Multiply (-3 + 4v) * (-5 + v) (-3(-5 + v) + 4v * (-5 + v)) = 0 ((-5 * -3 + v * -3) + 4v * (-5 + v)) = 0 ((15 + -3v) + 4v * (-5 + v)) = 0 (15 + -3v + (-5 * 4v + v * 4v)) = 0 (15 + -3v + (-20v + 4v2)) = 0 Combine like terms: -3v + -20v = -23v (15 + -23v + 4v2) = 0 Solving 15 + -23v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -4v)(5 + -1v) = 0Subproblem 1
Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 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 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75Subproblem 2
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 = 5Solution
v = {0.75, 5}
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