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Simplifying (u + 7)(u + -6) = 0 Reorder the terms: (7 + u)(u + -6) = 0 Reorder the terms: (7 + u)(-6 + u) = 0 Multiply (7 + u) * (-6 + u) (7(-6 + u) + u(-6 + u)) = 0 ((-6 * 7 + u * 7) + u(-6 + u)) = 0 ((-42 + 7u) + u(-6 + u)) = 0 (-42 + 7u + (-6 * u + u * u)) = 0 (-42 + 7u + (-6u + u2)) = 0 Combine like terms: 7u + -6u = 1u (-42 + 1u + u2) = 0 Solving -42 + 1u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -1u)(6 + -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 '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 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 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6Solution
u = {-7, 6}
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