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Simplifying (9 + -1u)(4u + 1) = 0 Reorder the terms: (9 + -1u)(1 + 4u) = 0 Multiply (9 + -1u) * (1 + 4u) (9(1 + 4u) + -1u * (1 + 4u)) = 0 ((1 * 9 + 4u * 9) + -1u * (1 + 4u)) = 0 ((9 + 36u) + -1u * (1 + 4u)) = 0 (9 + 36u + (1 * -1u + 4u * -1u)) = 0 (9 + 36u + (-1u + -4u2)) = 0 Combine like terms: 36u + -1u = 35u (9 + 35u + -4u2) = 0 Solving 9 + 35u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -1u)(1 + 4u) = 0Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 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 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Subproblem 2
Set the factor '(1 + 4u)' equal to zero and attempt to solve: Simplifying 1 + 4u = 0 Solving 1 + 4u = 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 + 4u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4u = 0 + -1 4u = 0 + -1 Combine like terms: 0 + -1 = -1 4u = -1 Divide each side by '4'. u = -0.25 Simplifying u = -0.25Solution
u = {9, -0.25}
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