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Simplifying (4v + -5)(3 + v) = 0 Reorder the terms: (-5 + 4v)(3 + v) = 0 Multiply (-5 + 4v) * (3 + v) (-5(3 + v) + 4v * (3 + v)) = 0 ((3 * -5 + v * -5) + 4v * (3 + v)) = 0 ((-15 + -5v) + 4v * (3 + v)) = 0 (-15 + -5v + (3 * 4v + v * 4v)) = 0 (-15 + -5v + (12v + 4v2)) = 0 Combine like terms: -5v + 12v = 7v (-15 + 7v + 4v2) = 0 Solving -15 + 7v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -1v)(5 + -4v) = 0Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 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 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. 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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