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Simplifying (4 + v)(4v + -5) = 0 Reorder the terms: (4 + v)(-5 + 4v) = 0 Multiply (4 + v) * (-5 + 4v) (4(-5 + 4v) + v(-5 + 4v)) = 0 ((-5 * 4 + 4v * 4) + v(-5 + 4v)) = 0 ((-20 + 16v) + v(-5 + 4v)) = 0 (-20 + 16v + (-5 * v + 4v * v)) = 0 (-20 + 16v + (-5v + 4v2)) = 0 Combine like terms: 16v + -5v = 11v (-20 + 11v + 4v2) = 0 Solving -20 + 11v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -1v)(5 + -4v) = 0Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4Subproblem 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 = {-4, 1.25}
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