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Simplifying (n + 10)(n + -11) = 0 Reorder the terms: (10 + n)(n + -11) = 0 Reorder the terms: (10 + n)(-11 + n) = 0 Multiply (10 + n) * (-11 + n) (10(-11 + n) + n(-11 + n)) = 0 ((-11 * 10 + n * 10) + n(-11 + n)) = 0 ((-110 + 10n) + n(-11 + n)) = 0 (-110 + 10n + (-11 * n + n * n)) = 0 (-110 + 10n + (-11n + n2)) = 0 Combine like terms: 10n + -11n = -1n (-110 + -1n + n2) = 0 Solving -110 + -1n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-10 + -1n)(11 + -1n) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(11 + -1n)' equal to zero and attempt to solve: Simplifying 11 + -1n = 0 Solving 11 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1n = 0 + -11 -1n = 0 + -11 Combine like terms: 0 + -11 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11Solution
n = {-10, 11}
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