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Simplifying (n + -1)(n + -9) = 0 Reorder the terms: (-1 + n)(n + -9) = 0 Reorder the terms: (-1 + n)(-9 + n) = 0 Multiply (-1 + n) * (-9 + n) (-1(-9 + n) + n(-9 + n)) = 0 ((-9 * -1 + n * -1) + n(-9 + n)) = 0 ((9 + -1n) + n(-9 + n)) = 0 (9 + -1n + (-9 * n + n * n)) = 0 (9 + -1n + (-9n + n2)) = 0 Combine like terms: -1n + -9n = -10n (9 + -10n + n2) = 0 Solving 9 + -10n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (1 + -1n)(9 + -1n) = 0Subproblem 1
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Subproblem 2
Set the factor '(9 + -1n)' equal to zero and attempt to solve: Simplifying 9 + -1n = 0 Solving 9 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 0 + -9 -1n = 0 + -9 Combine like terms: 0 + -9 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9Solution
n = {1, 9}
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