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Simplifying 3n2 + 40n + 100 = 0 Reorder the terms: 100 + 40n + 3n2 = 0 Solving 100 + 40n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (10 + n)(10 + 3n) = 0Subproblem 1
Set the factor '(10 + n)' equal to zero and attempt to solve: Simplifying 10 + n = 0 Solving 10 + n = 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 + n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + n = 0 + -10 n = 0 + -10 Combine like terms: 0 + -10 = -10 n = -10 Simplifying n = -10Subproblem 2
Set the factor '(10 + 3n)' equal to zero and attempt to solve: Simplifying 10 + 3n = 0 Solving 10 + 3n = 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 + 3n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 0 + -10 3n = 0 + -10 Combine like terms: 0 + -10 = -10 3n = -10 Divide each side by '3'. n = -3.333333333 Simplifying n = -3.333333333Solution
n = {-10, -3.333333333}
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