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Simplifying 3n2 + n + -1900 = 0 Reorder the terms: -1900 + n + 3n2 = 0 Solving -1900 + n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-76 + -3n)(25 + -1n) = 0Subproblem 1
Set the factor '(-76 + -3n)' equal to zero and attempt to solve: Simplifying -76 + -3n = 0 Solving -76 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + -3n = 0 + 76 Combine like terms: -76 + 76 = 0 0 + -3n = 0 + 76 -3n = 0 + 76 Combine like terms: 0 + 76 = 76 -3n = 76 Divide each side by '-3'. n = -25.33333333 Simplifying n = -25.33333333Subproblem 2
Set the factor '(25 + -1n)' equal to zero and attempt to solve: Simplifying 25 + -1n = 0 Solving 25 + -1n = 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 + -1n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1n = 0 + -25 -1n = 0 + -25 Combine like terms: 0 + -25 = -25 -1n = -25 Divide each side by '-1'. n = 25 Simplifying n = 25Solution
n = {-25.33333333, 25}
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