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Simplifying n = n2 + -30 Reorder the terms: n = -30 + n2 Solving n = -30 + n2 Solving for variable 'n'. Reorder the terms: 30 + n + -1n2 = -30 + n2 + 30 + -1n2 Reorder the terms: 30 + n + -1n2 = -30 + 30 + n2 + -1n2 Combine like terms: -30 + 30 = 0 30 + n + -1n2 = 0 + n2 + -1n2 30 + n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 30 + n + -1n2 = 0 Factor a trinomial. (6 + -1n)(5 + n) = 0Subproblem 1
Set the factor '(6 + -1n)' equal to zero and attempt to solve: Simplifying 6 + -1n = 0 Solving 6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 0 + -6 -1n = 0 + -6 Combine like terms: 0 + -6 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6Subproblem 2
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Solution
n = {6, -5}
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