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Simplifying (1 + -1u)(2u + -9) = 0 Reorder the terms: (1 + -1u)(-9 + 2u) = 0 Multiply (1 + -1u) * (-9 + 2u) (1(-9 + 2u) + -1u * (-9 + 2u)) = 0 ((-9 * 1 + 2u * 1) + -1u * (-9 + 2u)) = 0 ((-9 + 2u) + -1u * (-9 + 2u)) = 0 (-9 + 2u + (-9 * -1u + 2u * -1u)) = 0 (-9 + 2u + (9u + -2u2)) = 0 Combine like terms: 2u + 9u = 11u (-9 + 11u + -2u2) = 0 Solving -9 + 11u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + 2u)(1 + -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 '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {4.5, 1}
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