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Simplifying n2 + -30n + 56 = 0 Reorder the terms: 56 + -30n + n2 = 0 Solving 56 + -30n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -1n)(28 + -1n) = 0Subproblem 1
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Subproblem 2
Set the factor '(28 + -1n)' equal to zero and attempt to solve: Simplifying 28 + -1n = 0 Solving 28 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1n = 0 + -28 -1n = 0 + -28 Combine like terms: 0 + -28 = -28 -1n = -28 Divide each side by '-1'. n = 28 Simplifying n = 28Solution
n = {2, 28}
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