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Simplifying (U + 7)(U + -5) = 0 Reorder the terms: (7 + U)(U + -5) = 0 Reorder the terms: (7 + U)(-5 + U) = 0 Multiply (7 + U) * (-5 + U) (7(-5 + U) + U(-5 + U)) = 0 ((-5 * 7 + U * 7) + U(-5 + U)) = 0 ((-35 + 7U) + U(-5 + U)) = 0 (-35 + 7U + (-5 * U + U * U)) = 0 (-35 + 7U + (-5U + U2)) = 0 Combine like terms: 7U + -5U = 2U (-35 + 2U + U2) = 0 Solving -35 + 2U + U2 = 0 Solving for variable 'U'. Factor a trinomial. (-7 + -1U)(5 + -1U) = 0Subproblem 1
Set the factor '(-7 + -1U)' equal to zero and attempt to solve: Simplifying -7 + -1U = 0 Solving -7 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1U = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1U = 0 + 7 -1U = 0 + 7 Combine like terms: 0 + 7 = 7 -1U = 7 Divide each side by '-1'. U = -7 Simplifying U = -7Subproblem 2
Set the factor '(5 + -1U)' equal to zero and attempt to solve: Simplifying 5 + -1U = 0 Solving 5 + -1U = 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 + -1U = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1U = 0 + -5 -1U = 0 + -5 Combine like terms: 0 + -5 = -5 -1U = -5 Divide each side by '-1'. U = 5 Simplifying U = 5Solution
U = {-7, 5}
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