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Simplifying (1 + -1u)(4u + 9) = 0 Reorder the terms: (1 + -1u)(9 + 4u) = 0 Multiply (1 + -1u) * (9 + 4u) (1(9 + 4u) + -1u * (9 + 4u)) = 0 ((9 * 1 + 4u * 1) + -1u * (9 + 4u)) = 0 ((9 + 4u) + -1u * (9 + 4u)) = 0 (9 + 4u + (9 * -1u + 4u * -1u)) = 0 (9 + 4u + (-9u + -4u2)) = 0 Combine like terms: 4u + -9u = -5u (9 + -5u + -4u2) = 0 Solving 9 + -5u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (1 + -1u)(9 + 4u) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(9 + 4u)' equal to zero and attempt to solve: Simplifying 9 + 4u = 0 Solving 9 + 4u = 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 + 4u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4u = 0 + -9 4u = 0 + -9 Combine like terms: 0 + -9 = -9 4u = -9 Divide each side by '4'. u = -2.25 Simplifying u = -2.25Solution
u = {1, -2.25}
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