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Simplifying (U + -7)(U + -3) = 0 Reorder the terms: (-7 + U)(U + -3) = 0 Reorder the terms: (-7 + U)(-3 + U) = 0 Multiply (-7 + U) * (-3 + U) (-7(-3 + U) + U(-3 + U)) = 0 ((-3 * -7 + U * -7) + U(-3 + U)) = 0 ((21 + -7U) + U(-3 + U)) = 0 (21 + -7U + (-3 * U + U * U)) = 0 (21 + -7U + (-3U + U2)) = 0 Combine like terms: -7U + -3U = -10U (21 + -10U + U2) = 0 Solving 21 + -10U + U2 = 0 Solving for variable 'U'. Factor a trinomial. (3 + -1U)(7 + -1U) = 0Subproblem 1
Set the factor '(3 + -1U)' equal to zero and attempt to solve: Simplifying 3 + -1U = 0 Solving 3 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1U = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1U = 0 + -3 -1U = 0 + -3 Combine like terms: 0 + -3 = -3 -1U = -3 Divide each side by '-1'. U = 3 Simplifying U = 3Subproblem 2
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 = 7Solution
U = {3, 7}
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