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Simplifying (n + 3)(2n + 3) = 0 Reorder the terms: (3 + n)(2n + 3) = 0 Reorder the terms: (3 + n)(3 + 2n) = 0 Multiply (3 + n) * (3 + 2n) (3(3 + 2n) + n(3 + 2n)) = 0 ((3 * 3 + 2n * 3) + n(3 + 2n)) = 0 ((9 + 6n) + n(3 + 2n)) = 0 (9 + 6n + (3 * n + 2n * n)) = 0 (9 + 6n + (3n + 2n2)) = 0 Combine like terms: 6n + 3n = 9n (9 + 9n + 2n2) = 0 Solving 9 + 9n + 2n2 = 0 Solving for variable 'n'. Factor a trinomial. (3 + n)(3 + 2n) = 0Subproblem 1
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 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 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 2
Set the factor '(3 + 2n)' equal to zero and attempt to solve: Simplifying 3 + 2n = 0 Solving 3 + 2n = 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 + 2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 0 + -3 2n = 0 + -3 Combine like terms: 0 + -3 = -3 2n = -3 Divide each side by '2'. n = -1.5 Simplifying n = -1.5Solution
n = {-3, -1.5}
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