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Simplifying n2 + -37n + 232 = 0 Reorder the terms: 232 + -37n + n2 = 0 Solving 232 + -37n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (8 + -1n)(29 + -1n) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(29 + -1n)' equal to zero and attempt to solve: Simplifying 29 + -1n = 0 Solving 29 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1n = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1n = 0 + -29 -1n = 0 + -29 Combine like terms: 0 + -29 = -29 -1n = -29 Divide each side by '-1'. n = 29 Simplifying n = 29Solution
n = {8, 29}
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