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Simplifying 3n2 + 10n = 125 Reorder the terms: 10n + 3n2 = 125 Solving 10n + 3n2 = 125 Solving for variable 'n'. Reorder the terms: -125 + 10n + 3n2 = 125 + -125 Combine like terms: 125 + -125 = 0 -125 + 10n + 3n2 = 0 Factor a trinomial. (-25 + -3n)(5 + -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 '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {-8.333333333, 5}
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