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Simplifying (5u + -9)(u + -2) = 0 Reorder the terms: (-9 + 5u)(u + -2) = 0 Reorder the terms: (-9 + 5u)(-2 + u) = 0 Multiply (-9 + 5u) * (-2 + u) (-9(-2 + u) + 5u * (-2 + u)) = 0 ((-2 * -9 + u * -9) + 5u * (-2 + u)) = 0 ((18 + -9u) + 5u * (-2 + u)) = 0 (18 + -9u + (-2 * 5u + u * 5u)) = 0 (18 + -9u + (-10u + 5u2)) = 0 Combine like terms: -9u + -10u = -19u (18 + -19u + 5u2) = 0 Solving 18 + -19u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -5u)(2 + -1u) = 0Subproblem 1
Set the factor '(9 + -5u)' equal to zero and attempt to solve: Simplifying 9 + -5u = 0 Solving 9 + -5u = 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 + -5u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5u = 0 + -9 -5u = 0 + -9 Combine like terms: 0 + -9 = -9 -5u = -9 Divide each side by '-5'. u = 1.8 Simplifying u = 1.8Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {1.8, 2}
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