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Simplifying (u + -4)(u + -9) = 0 Reorder the terms: (-4 + u)(u + -9) = 0 Reorder the terms: (-4 + u)(-9 + u) = 0 Multiply (-4 + u) * (-9 + u) (-4(-9 + u) + u(-9 + u)) = 0 ((-9 * -4 + u * -4) + u(-9 + u)) = 0 ((36 + -4u) + u(-9 + u)) = 0 (36 + -4u + (-9 * u + u * u)) = 0 (36 + -4u + (-9u + u2)) = 0 Combine like terms: -4u + -9u = -13u (36 + -13u + u2) = 0 Solving 36 + -13u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + -1u)(9 + -1u) = 0Subproblem 1
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Subproblem 2
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 = 9Solution
u = {4, 9}
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