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Simplifying (9v + 5)(4v + -5) = 0 Reorder the terms: (5 + 9v)(4v + -5) = 0 Reorder the terms: (5 + 9v)(-5 + 4v) = 0 Multiply (5 + 9v) * (-5 + 4v) (5(-5 + 4v) + 9v * (-5 + 4v)) = 0 ((-5 * 5 + 4v * 5) + 9v * (-5 + 4v)) = 0 ((-25 + 20v) + 9v * (-5 + 4v)) = 0 (-25 + 20v + (-5 * 9v + 4v * 9v)) = 0 (-25 + 20v + (-45v + 36v2)) = 0 Combine like terms: 20v + -45v = -25v (-25 + -25v + 36v2) = 0 Solving -25 + -25v + 36v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -9v)(5 + -4v) = 0Subproblem 1
Set the factor '(-5 + -9v)' equal to zero and attempt to solve: Simplifying -5 + -9v = 0 Solving -5 + -9v = 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 + -9v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9v = 0 + 5 -9v = 0 + 5 Combine like terms: 0 + 5 = 5 -9v = 5 Divide each side by '-9'. v = -0.5555555556 Simplifying v = -0.5555555556Subproblem 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 = {-0.5555555556, 1.25}
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