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Simplifying (9 + -1u)(2u + -1) = 0 Reorder the terms: (9 + -1u)(-1 + 2u) = 0 Multiply (9 + -1u) * (-1 + 2u) (9(-1 + 2u) + -1u * (-1 + 2u)) = 0 ((-1 * 9 + 2u * 9) + -1u * (-1 + 2u)) = 0 ((-9 + 18u) + -1u * (-1 + 2u)) = 0 (-9 + 18u + (-1 * -1u + 2u * -1u)) = 0 (-9 + 18u + (1u + -2u2)) = 0 Combine like terms: 18u + 1u = 19u (-9 + 19u + -2u2) = 0 Solving -9 + 19u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + u)(1 + -2u) = 0Subproblem 1
Set the factor '(-9 + u)' equal to zero and attempt to solve: Simplifying -9 + u = 0 Solving -9 + u = 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 + u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + u = 0 + 9 u = 0 + 9 Combine like terms: 0 + 9 = 9 u = 9 Simplifying u = 9Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve: Simplifying 1 + -2u = 0 Solving 1 + -2u = 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 + -2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2u = 0 + -1 -2u = 0 + -1 Combine like terms: 0 + -1 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5Solution
u = {9, 0.5}
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