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Simplifying 7n2 + 2407n + -61800 = 0 Reorder the terms: -61800 + 2407n + 7n2 = 0 Solving -61800 + 2407n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (-2575 + -7n)(24 + -1n) = 0Subproblem 1
Set the factor '(-2575 + -7n)' equal to zero and attempt to solve: Simplifying -2575 + -7n = 0 Solving -2575 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '2575' to each side of the equation. -2575 + 2575 + -7n = 0 + 2575 Combine like terms: -2575 + 2575 = 0 0 + -7n = 0 + 2575 -7n = 0 + 2575 Combine like terms: 0 + 2575 = 2575 -7n = 2575 Divide each side by '-7'. n = -367.8571429 Simplifying n = -367.8571429Subproblem 2
Set the factor '(24 + -1n)' equal to zero and attempt to solve: Simplifying 24 + -1n = 0 Solving 24 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 0 + -24 -1n = 0 + -24 Combine like terms: 0 + -24 = -24 -1n = -24 Divide each side by '-1'. n = 24 Simplifying n = 24Solution
n = {-367.8571429, 24}
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