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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. (-25 + -1u)(9 + -1u) = 0Subproblem 1
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 = -25Subproblem 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 = {-25, 9}
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