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Simplifying 4n2 + -41n + 72 = 0 Reorder the terms: 72 + -41n + 4n2 = 0 Solving 72 + -41n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (9 + -4n)(8 + -1n) = 0Subproblem 1
Set the factor '(9 + -4n)' equal to zero and attempt to solve: Simplifying 9 + -4n = 0 Solving 9 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = 0 + -9 -4n = 0 + -9 Combine like terms: 0 + -9 = -9 -4n = -9 Divide each side by '-4'. n = 2.25 Simplifying n = 2.25Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {2.25, 8}
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