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Simplifying (n + 2)(n + 7) = 0 Reorder the terms: (2 + n)(n + 7) = 0 Reorder the terms: (2 + n)(7 + n) = 0 Multiply (2 + n) * (7 + n) (2(7 + n) + n(7 + n)) = 0 ((7 * 2 + n * 2) + n(7 + n)) = 0 ((14 + 2n) + n(7 + n)) = 0 (14 + 2n + (7 * n + n * n)) = 0 (14 + 2n + (7n + n2)) = 0 Combine like terms: 2n + 7n = 9n (14 + 9n + n2) = 0 Solving 14 + 9n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + n)(2 + 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 '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {-7, -2}
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