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Simplifying (5n + 9)(n + 3) = 0 Reorder the terms: (9 + 5n)(n + 3) = 0 Reorder the terms: (9 + 5n)(3 + n) = 0 Multiply (9 + 5n) * (3 + n) (9(3 + n) + 5n * (3 + n)) = 0 ((3 * 9 + n * 9) + 5n * (3 + n)) = 0 ((27 + 9n) + 5n * (3 + n)) = 0 (27 + 9n + (3 * 5n + n * 5n)) = 0 (27 + 9n + (15n + 5n2)) = 0 Combine like terms: 9n + 15n = 24n (27 + 24n + 5n2) = 0 Solving 27 + 24n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (3 + n)(9 + 5n) = 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 '(9 + 5n)' equal to zero and attempt to solve: Simplifying 9 + 5n = 0 Solving 9 + 5n = 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 + 5n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5n = 0 + -9 5n = 0 + -9 Combine like terms: 0 + -9 = -9 5n = -9 Divide each side by '5'. n = -1.8 Simplifying n = -1.8Solution
n = {-3, -1.8}
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