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Simplifying n2 + 9n + -52 = 0 Reorder the terms: -52 + 9n + n2 = 0 Solving -52 + 9n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-13 + -1n)(4 + -1n) = 0Subproblem 1
Set the factor '(-13 + -1n)' equal to zero and attempt to solve: Simplifying -13 + -1n = 0 Solving -13 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1n = 0 + 13 -1n = 0 + 13 Combine like terms: 0 + 13 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {-13, 4}
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