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Simplifying (7 + U)(5U + 3) = 0 Reorder the terms: (7 + U)(3 + 5U) = 0 Multiply (7 + U) * (3 + 5U) (7(3 + 5U) + U(3 + 5U)) = 0 ((3 * 7 + 5U * 7) + U(3 + 5U)) = 0 ((21 + 35U) + U(3 + 5U)) = 0 (21 + 35U + (3 * U + 5U * U)) = 0 (21 + 35U + (3U + 5U2)) = 0 Combine like terms: 35U + 3U = 38U (21 + 38U + 5U2) = 0 Solving 21 + 38U + 5U2 = 0 Solving for variable 'U'. Factor a trinomial. (7 + U)(3 + 5U) = 0Subproblem 1
Set the factor '(7 + U)' equal to zero and attempt to solve: Simplifying 7 + U = 0 Solving 7 + U = 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 + U = 0 + -7 Combine like terms: 7 + -7 = 0 0 + U = 0 + -7 U = 0 + -7 Combine like terms: 0 + -7 = -7 U = -7 Simplifying U = -7Subproblem 2
Set the factor '(3 + 5U)' equal to zero and attempt to solve: Simplifying 3 + 5U = 0 Solving 3 + 5U = 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 + 5U = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5U = 0 + -3 5U = 0 + -3 Combine like terms: 0 + -3 = -3 5U = -3 Divide each side by '5'. U = -0.6 Simplifying U = -0.6Solution
U = {-7, -0.6}
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