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Simplifying (n + -3)(n + -2) = 0 Reorder the terms: (-3 + n)(n + -2) = 0 Reorder the terms: (-3 + n)(-2 + n) = 0 Multiply (-3 + n) * (-2 + n) (-3(-2 + n) + n(-2 + n)) = 0 ((-2 * -3 + n * -3) + n(-2 + n)) = 0 ((6 + -3n) + n(-2 + n)) = 0 (6 + -3n + (-2 * n + n * n)) = 0 (6 + -3n + (-2n + n2)) = 0 Combine like terms: -3n + -2n = -5n (6 + -5n + n2) = 0 Solving 6 + -5n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -1n)(3 + -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 '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Solution
n = {2, 3}
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