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Simplifying U2 + 80U + -336 = 0 Reorder the terms: -336 + 80U + U2 = 0 Solving -336 + 80U + U2 = 0 Solving for variable 'U'. Factor a trinomial. (-84 + -1U)(4 + -1U) = 0Subproblem 1
Set the factor '(-84 + -1U)' equal to zero and attempt to solve: Simplifying -84 + -1U = 0 Solving -84 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -1U = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -1U = 0 + 84 -1U = 0 + 84 Combine like terms: 0 + 84 = 84 -1U = 84 Divide each side by '-1'. U = -84 Simplifying U = -84Subproblem 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 = {-84, 4}
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