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Simplifying n(n + -5) = 336 Reorder the terms: n(-5 + n) = 336 (-5 * n + n * n) = 336 (-5n + n2) = 336 Solving -5n + n2 = 336 Solving for variable 'n'. Reorder the terms: -336 + -5n + n2 = 336 + -336 Combine like terms: 336 + -336 = 0 -336 + -5n + n2 = 0 Factor a trinomial. (-16 + -1n)(21 + -1n) = 0Subproblem 1
Set the factor '(-16 + -1n)' equal to zero and attempt to solve: Simplifying -16 + -1n = 0 Solving -16 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1n = 0 + 16 -1n = 0 + 16 Combine like terms: 0 + 16 = 16 -1n = 16 Divide each side by '-1'. n = -16 Simplifying n = -16Subproblem 2
Set the factor '(21 + -1n)' equal to zero and attempt to solve: Simplifying 21 + -1n = 0 Solving 21 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 0 + -21 -1n = 0 + -21 Combine like terms: 0 + -21 = -21 -1n = -21 Divide each side by '-1'. n = 21 Simplifying n = 21Solution
n = {-16, 21}
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