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Simplifying 5u2 + -9u + -45u + 81 = 0 Reorder the terms: 81 + -9u + -45u + 5u2 = 0 Combine like terms: -9u + -45u = -54u 81 + -54u + 5u2 = 0 Solving 81 + -54u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -5u)(9 + -1u) = 0Subproblem 1
Set the factor '(9 + -5u)' equal to zero and attempt to solve: Simplifying 9 + -5u = 0 Solving 9 + -5u = 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 + -5u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5u = 0 + -9 -5u = 0 + -9 Combine like terms: 0 + -9 = -9 -5u = -9 Divide each side by '-5'. u = 1.8 Simplifying u = 1.8Subproblem 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 = {1.8, 9}
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