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Simplifying 5u2 = 19u + 4 Reorder the terms: 5u2 = 4 + 19u Solving 5u2 = 4 + 19u Solving for variable 'u'. Reorder the terms: -4 + -19u + 5u2 = 4 + 19u + -4 + -19u Reorder the terms: -4 + -19u + 5u2 = 4 + -4 + 19u + -19u Combine like terms: 4 + -4 = 0 -4 + -19u + 5u2 = 0 + 19u + -19u -4 + -19u + 5u2 = 19u + -19u Combine like terms: 19u + -19u = 0 -4 + -19u + 5u2 = 0 Factor a trinomial. (-1 + -5u)(4 + -1u) = 0Subproblem 1
Set the factor '(-1 + -5u)' equal to zero and attempt to solve: Simplifying -1 + -5u = 0 Solving -1 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5u = 0 + 1 -5u = 0 + 1 Combine like terms: 0 + 1 = 1 -5u = 1 Divide each side by '-5'. u = -0.2 Simplifying u = -0.2Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {-0.2, 4}
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