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Simplifying (9v + 5)(4v + -7) = 0 Reorder the terms: (5 + 9v)(4v + -7) = 0 Reorder the terms: (5 + 9v)(-7 + 4v) = 0 Multiply (5 + 9v) * (-7 + 4v) (5(-7 + 4v) + 9v * (-7 + 4v)) = 0 ((-7 * 5 + 4v * 5) + 9v * (-7 + 4v)) = 0 ((-35 + 20v) + 9v * (-7 + 4v)) = 0 (-35 + 20v + (-7 * 9v + 4v * 9v)) = 0 (-35 + 20v + (-63v + 36v2)) = 0 Combine like terms: 20v + -63v = -43v (-35 + -43v + 36v2) = 0 Solving -35 + -43v + 36v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -9v)(7 + -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 '(7 + -4v)' equal to zero and attempt to solve: Simplifying 7 + -4v = 0 Solving 7 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4v = 0 + -7 -4v = 0 + -7 Combine like terms: 0 + -7 = -7 -4v = -7 Divide each side by '-4'. v = 1.75 Simplifying v = 1.75Solution
v = {-0.5555555556, 1.75}
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