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Simplifying n2 + -25n + -84 = 0 Reorder the terms: -84 + -25n + n2 = 0 Solving -84 + -25n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -1n)(28 + -1n) = 0Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 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 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3Subproblem 2
Set the factor '(28 + -1n)' equal to zero and attempt to solve: Simplifying 28 + -1n = 0 Solving 28 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1n = 0 + -28 -1n = 0 + -28 Combine like terms: 0 + -28 = -28 -1n = -28 Divide each side by '-1'. n = 28 Simplifying n = 28Solution
n = {-3, 28}
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