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Simplifying 3n2 + -10n + -400 = 0 Reorder the terms: -400 + -10n + 3n2 = 0 Solving -400 + -10n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-10 + -1n)(40 + -3n) = 0Subproblem 1
Set the factor '(-10 + -1n)' equal to zero and attempt to solve: Simplifying -10 + -1n = 0 Solving -10 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = 0 + 10 -1n = 0 + 10 Combine like terms: 0 + 10 = 10 -1n = 10 Divide each side by '-1'. n = -10 Simplifying n = -10Subproblem 2
Set the factor '(40 + -3n)' equal to zero and attempt to solve: Simplifying 40 + -3n = 0 Solving 40 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -3n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3n = 0 + -40 -3n = 0 + -40 Combine like terms: 0 + -40 = -40 -3n = -40 Divide each side by '-3'. n = 13.33333333 Simplifying n = 13.33333333Solution
n = {-10, 13.33333333}
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