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Simplifying (4v + -9)(4 + -1v) = 0 Reorder the terms: (-9 + 4v)(4 + -1v) = 0 Multiply (-9 + 4v) * (4 + -1v) (-9(4 + -1v) + 4v * (4 + -1v)) = 0 ((4 * -9 + -1v * -9) + 4v * (4 + -1v)) = 0 ((-36 + 9v) + 4v * (4 + -1v)) = 0 (-36 + 9v + (4 * 4v + -1v * 4v)) = 0 (-36 + 9v + (16v + -4v2)) = 0 Combine like terms: 9v + 16v = 25v (-36 + 25v + -4v2) = 0 Solving -36 + 25v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + v)(9 + -4v) = 0Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve: Simplifying -4 + v = 0 Solving -4 + v = 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 + v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + v = 0 + 4 v = 0 + 4 Combine like terms: 0 + 4 = 4 v = 4 Simplifying v = 4Subproblem 2
Set the factor '(9 + -4v)' equal to zero and attempt to solve: Simplifying 9 + -4v = 0 Solving 9 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = 0 + -9 -4v = 0 + -9 Combine like terms: 0 + -9 = -9 -4v = -9 Divide each side by '-4'. v = 2.25 Simplifying v = 2.25Solution
v = {4, 2.25}
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