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Simplifying (6 + U)(2U + 7) = 0 Reorder the terms: (6 + U)(7 + 2U) = 0 Multiply (6 + U) * (7 + 2U) (6(7 + 2U) + U(7 + 2U)) = 0 ((7 * 6 + 2U * 6) + U(7 + 2U)) = 0 ((42 + 12U) + U(7 + 2U)) = 0 (42 + 12U + (7 * U + 2U * U)) = 0 (42 + 12U + (7U + 2U2)) = 0 Combine like terms: 12U + 7U = 19U (42 + 19U + 2U2) = 0 Solving 42 + 19U + 2U2 = 0 Solving for variable 'U'. Factor a trinomial. (6 + U)(7 + 2U) = 0Subproblem 1
Set the factor '(6 + U)' equal to zero and attempt to solve: Simplifying 6 + U = 0 Solving 6 + U = 0 Move all terms containing U to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + U = 0 + -6 Combine like terms: 6 + -6 = 0 0 + U = 0 + -6 U = 0 + -6 Combine like terms: 0 + -6 = -6 U = -6 Simplifying U = -6Subproblem 2
Set the factor '(7 + 2U)' equal to zero and attempt to solve: Simplifying 7 + 2U = 0 Solving 7 + 2U = 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 + 2U = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2U = 0 + -7 2U = 0 + -7 Combine like terms: 0 + -7 = -7 2U = -7 Divide each side by '2'. U = -3.5 Simplifying U = -3.5Solution
U = {-6, -3.5}
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