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Simplifying 0 = 4u2 + 19u + -30 Reorder the terms: 0 = -30 + 19u + 4u2 Solving 0 = -30 + 19u + 4u2 Solving for variable 'u'. Combine like terms: 0 + 30 = 30 30 + -19u + -4u2 = -30 + 19u + 4u2 + 30 + -19u + -4u2 Reorder the terms: 30 + -19u + -4u2 = -30 + 30 + 19u + -19u + 4u2 + -4u2 Combine like terms: -30 + 30 = 0 30 + -19u + -4u2 = 0 + 19u + -19u + 4u2 + -4u2 30 + -19u + -4u2 = 19u + -19u + 4u2 + -4u2 Combine like terms: 19u + -19u = 0 30 + -19u + -4u2 = 0 + 4u2 + -4u2 30 + -19u + -4u2 = 4u2 + -4u2 Combine like terms: 4u2 + -4u2 = 0 30 + -19u + -4u2 = 0 Factor a trinomial. (5 + -4u)(6 + u) = 0Subproblem 1
Set the factor '(5 + -4u)' equal to zero and attempt to solve: Simplifying 5 + -4u = 0 Solving 5 + -4u = 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 + -4u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4u = 0 + -5 -4u = 0 + -5 Combine like terms: 0 + -5 = -5 -4u = -5 Divide each side by '-4'. u = 1.25 Simplifying u = 1.25Subproblem 2
Set the factor '(6 + u)' equal to zero and attempt to solve: Simplifying 6 + u = 0 Solving 6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + u = 0 + -6 u = 0 + -6 Combine like terms: 0 + -6 = -6 u = -6 Simplifying u = -6Solution
u = {1.25, -6}
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