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Simplifying (n + 7)(n + -2) = 0 Reorder the terms: (7 + n)(n + -2) = 0 Reorder the terms: (7 + n)(-2 + n) = 0 Multiply (7 + n) * (-2 + n) (7(-2 + n) + n(-2 + n)) = 0 ((-2 * 7 + n * 7) + n(-2 + n)) = 0 ((-14 + 7n) + n(-2 + n)) = 0 (-14 + 7n + (-2 * n + n * n)) = 0 (-14 + 7n + (-2n + n2)) = 0 Combine like terms: 7n + -2n = 5n (-14 + 5n + n2) = 0 Solving -14 + 5n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + -1n)(2 + -1n) = 0Subproblem 1
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 = -7Subproblem 2
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 = 2Solution
n = {-7, 2}
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