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Simplifying u2 + -16u + -225 = 0 Reorder the terms: -225 + -16u + u2 = 0 Solving -225 + -16u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -1u)(25 + -1u) = 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 '(25 + -1u)' equal to zero and attempt to solve: Simplifying 25 + -1u = 0 Solving 25 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1u = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1u = 0 + -25 -1u = 0 + -25 Combine like terms: 0 + -25 = -25 -1u = -25 Divide each side by '-1'. u = 25 Simplifying u = 25Solution
u = {-9, 25}
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