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Simplifying (5 + v)(3v + -4) = 0 Reorder the terms: (5 + v)(-4 + 3v) = 0 Multiply (5 + v) * (-4 + 3v) (5(-4 + 3v) + v(-4 + 3v)) = 0 ((-4 * 5 + 3v * 5) + v(-4 + 3v)) = 0 ((-20 + 15v) + v(-4 + 3v)) = 0 (-20 + 15v + (-4 * v + 3v * v)) = 0 (-20 + 15v + (-4v + 3v2)) = 0 Combine like terms: 15v + -4v = 11v (-20 + 11v + 3v2) = 0 Solving -20 + 11v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(4 + -3v) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 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 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333Solution
v = {-5, 1.333333333}
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