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Simplifying (n + 8)(7n + 1) = 0 Reorder the terms: (8 + n)(7n + 1) = 0 Reorder the terms: (8 + n)(1 + 7n) = 0 Multiply (8 + n) * (1 + 7n) (8(1 + 7n) + n(1 + 7n)) = 0 ((1 * 8 + 7n * 8) + n(1 + 7n)) = 0 ((8 + 56n) + n(1 + 7n)) = 0 (8 + 56n + (1 * n + 7n * n)) = 0 (8 + 56n + (1n + 7n2)) = 0 Combine like terms: 56n + 1n = 57n (8 + 57n + 7n2) = 0 Solving 8 + 57n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (8 + n)(1 + 7n) = 0Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Subproblem 2
Set the factor '(1 + 7n)' equal to zero and attempt to solve: Simplifying 1 + 7n = 0 Solving 1 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 0 + -1 7n = 0 + -1 Combine like terms: 0 + -1 = -1 7n = -1 Divide each side by '7'. n = -0.1428571429 Simplifying n = -0.1428571429Solution
n = {-8, -0.1428571429}
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