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Simplifying (2u + -9)(4 + -1u) = 0 Reorder the terms: (-9 + 2u)(4 + -1u) = 0 Multiply (-9 + 2u) * (4 + -1u) (-9(4 + -1u) + 2u * (4 + -1u)) = 0 ((4 * -9 + -1u * -9) + 2u * (4 + -1u)) = 0 ((-36 + 9u) + 2u * (4 + -1u)) = 0 (-36 + 9u + (4 * 2u + -1u * 2u)) = 0 (-36 + 9u + (8u + -2u2)) = 0 Combine like terms: 9u + 8u = 17u (-36 + 17u + -2u2) = 0 Solving -36 + 17u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + 2u)(4 + -1u) = 0Subproblem 1
Set the factor '(-9 + 2u)' equal to zero and attempt to solve: Simplifying -9 + 2u = 0 Solving -9 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2u = 0 + 9 2u = 0 + 9 Combine like terms: 0 + 9 = 9 2u = 9 Divide each side by '2'. u = 4.5 Simplifying u = 4.5Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {4.5, 4}
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