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Simplifying (n + 5)(2n + 5) = 0 Reorder the terms: (5 + n)(2n + 5) = 0 Reorder the terms: (5 + n)(5 + 2n) = 0 Multiply (5 + n) * (5 + 2n) (5(5 + 2n) + n(5 + 2n)) = 0 ((5 * 5 + 2n * 5) + n(5 + 2n)) = 0 ((25 + 10n) + n(5 + 2n)) = 0 (25 + 10n + (5 * n + 2n * n)) = 0 (25 + 10n + (5n + 2n2)) = 0 Combine like terms: 10n + 5n = 15n (25 + 15n + 2n2) = 0 Solving 25 + 15n + 2n2 = 0 Solving for variable 'n'. Factor a trinomial. (5 + n)(5 + 2n) = 0Subproblem 1
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Subproblem 2
Set the factor '(5 + 2n)' equal to zero and attempt to solve: Simplifying 5 + 2n = 0 Solving 5 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 0 + -5 2n = 0 + -5 Combine like terms: 0 + -5 = -5 2n = -5 Divide each side by '2'. n = -2.5 Simplifying n = -2.5Solution
n = {-5, -2.5}
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