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Simplifying (n + -7)(n + 9) = 0 Reorder the terms: (-7 + n)(n + 9) = 0 Reorder the terms: (-7 + n)(9 + n) = 0 Multiply (-7 + n) * (9 + n) (-7(9 + n) + n(9 + n)) = 0 ((9 * -7 + n * -7) + n(9 + n)) = 0 ((-63 + -7n) + n(9 + n)) = 0 (-63 + -7n + (9 * n + n * n)) = 0 (-63 + -7n + (9n + n2)) = 0 Combine like terms: -7n + 9n = 2n (-63 + 2n + n2) = 0 Solving -63 + 2n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-9 + -1n)(7 + -1n) = 0Subproblem 1
Set the factor '(-9 + -1n)' equal to zero and attempt to solve: Simplifying -9 + -1n = 0 Solving -9 + -1n = 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 + -1n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1n = 0 + 9 -1n = 0 + 9 Combine like terms: 0 + 9 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9Subproblem 2
Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7Solution
n = {-9, 7}
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