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Simplifying (n + 4)(n + 7) = 0 Reorder the terms: (4 + n)(n + 7) = 0 Reorder the terms: (4 + n)(7 + n) = 0 Multiply (4 + n) * (7 + n) (4(7 + n) + n(7 + n)) = 0 ((7 * 4 + n * 4) + n(7 + n)) = 0 ((28 + 4n) + n(7 + n)) = 0 (28 + 4n + (7 * n + n * n)) = 0 (28 + 4n + (7n + n2)) = 0 Combine like terms: 4n + 7n = 11n (28 + 11n + n2) = 0 Solving 28 + 11n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + n)(4 + n) = 0Subproblem 1
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 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 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Subproblem 2
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Solution
n = {-7, -4}
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