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Simplifying (u + -6)(u + -9) = 0 Reorder the terms: (-6 + u)(u + -9) = 0 Reorder the terms: (-6 + u)(-9 + u) = 0 Multiply (-6 + u) * (-9 + u) (-6(-9 + u) + u(-9 + u)) = 0 ((-9 * -6 + u * -6) + u(-9 + u)) = 0 ((54 + -6u) + u(-9 + u)) = 0 (54 + -6u + (-9 * u + u * u)) = 0 (54 + -6u + (-9u + u2)) = 0 Combine like terms: -6u + -9u = -15u (54 + -15u + u2) = 0 Solving 54 + -15u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (6 + -1u)(9 + -1u) = 0Subproblem 1
Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6Subproblem 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 = {6, 9}
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