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Simplifying U2 + 19U = -60 Reorder the terms: 19U + U2 = -60 Solving 19U + U2 = -60 Solving for variable 'U'. Reorder the terms: 60 + 19U + U2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + 19U + U2 = 0 Factor a trinomial. (15 + U)(4 + U) = 0Subproblem 1
Set the factor '(15 + U)' equal to zero and attempt to solve: Simplifying 15 + U = 0 Solving 15 + U = 0 Move all terms containing U to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + U = 0 + -15 Combine like terms: 15 + -15 = 0 0 + U = 0 + -15 U = 0 + -15 Combine like terms: 0 + -15 = -15 U = -15 Simplifying U = -15Subproblem 2
Set the factor '(4 + U)' equal to zero and attempt to solve: Simplifying 4 + U = 0 Solving 4 + U = 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 + U = 0 + -4 Combine like terms: 4 + -4 = 0 0 + U = 0 + -4 U = 0 + -4 Combine like terms: 0 + -4 = -4 U = -4 Simplifying U = -4Solution
U = {-15, -4}
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