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Simplifying (n + -2)(n + -11) = 0 Reorder the terms: (-2 + n)(n + -11) = 0 Reorder the terms: (-2 + n)(-11 + n) = 0 Multiply (-2 + n) * (-11 + n) (-2(-11 + n) + n(-11 + n)) = 0 ((-11 * -2 + n * -2) + n(-11 + n)) = 0 ((22 + -2n) + n(-11 + n)) = 0 (22 + -2n + (-11 * n + n * n)) = 0 (22 + -2n + (-11n + n2)) = 0 Combine like terms: -2n + -11n = -13n (22 + -13n + n2) = 0 Solving 22 + -13n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -1n)(11 + -1n) = 0Subproblem 1
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Subproblem 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 = {2, 11}
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