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Simplifying 2u2 + 5u + -18 = 0 Reorder the terms: -18 + 5u + 2u2 = 0 Solving -18 + 5u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -2u)(2 + -1u) = 0Subproblem 1
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 = -4.5Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {-4.5, 2}
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