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Simplifying (n + 5)(n + 10) = 0 Reorder the terms: (5 + n)(n + 10) = 0 Reorder the terms: (5 + n)(10 + n) = 0 Multiply (5 + n) * (10 + n) (5(10 + n) + n(10 + n)) = 0 ((10 * 5 + n * 5) + n(10 + n)) = 0 ((50 + 5n) + n(10 + n)) = 0 (50 + 5n + (10 * n + n * n)) = 0 (50 + 5n + (10n + n2)) = 0 Combine like terms: 5n + 10n = 15n (50 + 15n + n2) = 0 Solving 50 + 15n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (10 + n)(5 + n) = 0Subproblem 1
Set the factor '(10 + n)' equal to zero and attempt to solve: Simplifying 10 + n = 0 Solving 10 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + n = 0 + -10 n = 0 + -10 Combine like terms: 0 + -10 = -10 n = -10 Simplifying n = -10Subproblem 2
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 = -5Solution
n = {-10, -5}
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