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Simplifying 3n2 + n + -200 = 0 Reorder the terms: -200 + n + 3n2 = 0 Solving -200 + n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-25 + -3n)(8 + -1n) = 0Subproblem 1
Set the factor '(-25 + -3n)' equal to zero and attempt to solve: Simplifying -25 + -3n = 0 Solving -25 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -3n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -3n = 0 + 25 -3n = 0 + 25 Combine like terms: 0 + 25 = 25 -3n = 25 Divide each side by '-3'. n = -8.333333333 Simplifying n = -8.333333333Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {-8.333333333, 8}
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