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Simplifying 4u2 + -28u + 45 = 0 Reorder the terms: 45 + -28u + 4u2 = 0 Solving 45 + -28u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -2u)(9 + -2u) = 0Subproblem 1
Set the factor '(5 + -2u)' equal to zero and attempt to solve: Simplifying 5 + -2u = 0 Solving 5 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2u = 0 + -5 -2u = 0 + -5 Combine like terms: 0 + -5 = -5 -2u = -5 Divide each side by '-2'. u = 2.5 Simplifying u = 2.5Subproblem 2
Set the factor '(9 + -2u)' equal to zero and attempt to solve: Simplifying 9 + -2u = 0 Solving 9 + -2u = 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 + -2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2u = 0 + -9 -2u = 0 + -9 Combine like terms: 0 + -9 = -9 -2u = -9 Divide each side by '-2'. u = 4.5 Simplifying u = 4.5Solution
u = {2.5, 4.5}
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