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Simplifying (n + 11)(4n + 7) = 0 Reorder the terms: (11 + n)(4n + 7) = 0 Reorder the terms: (11 + n)(7 + 4n) = 0 Multiply (11 + n) * (7 + 4n) (11(7 + 4n) + n(7 + 4n)) = 0 ((7 * 11 + 4n * 11) + n(7 + 4n)) = 0 ((77 + 44n) + n(7 + 4n)) = 0 (77 + 44n + (7 * n + 4n * n)) = 0 (77 + 44n + (7n + 4n2)) = 0 Combine like terms: 44n + 7n = 51n (77 + 51n + 4n2) = 0 Solving 77 + 51n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (11 + n)(7 + 4n) = 0Subproblem 1
Set the factor '(11 + n)' equal to zero and attempt to solve: Simplifying 11 + n = 0 Solving 11 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + n = 0 + -11 n = 0 + -11 Combine like terms: 0 + -11 = -11 n = -11 Simplifying n = -11Subproblem 2
Set the factor '(7 + 4n)' equal to zero and attempt to solve: Simplifying 7 + 4n = 0 Solving 7 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 0 + -7 4n = 0 + -7 Combine like terms: 0 + -7 = -7 4n = -7 Divide each side by '4'. n = -1.75 Simplifying n = -1.75Solution
n = {-11, -1.75}
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