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Simplifying (n + 9)(n + -10) = 0 Reorder the terms: (9 + n)(n + -10) = 0 Reorder the terms: (9 + n)(-10 + n) = 0 Multiply (9 + n) * (-10 + n) (9(-10 + n) + n(-10 + n)) = 0 ((-10 * 9 + n * 9) + n(-10 + n)) = 0 ((-90 + 9n) + n(-10 + n)) = 0 (-90 + 9n + (-10 * n + n * n)) = 0 (-90 + 9n + (-10n + n2)) = 0 Combine like terms: 9n + -10n = -1n (-90 + -1n + n2) = 0 Solving -90 + -1n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-9 + -1n)(10 + -1n) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 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 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10Solution
n = {-9, 10}
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