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Simplifying n2 = 9n + -20 Reorder the terms: n2 = -20 + 9n Solving n2 = -20 + 9n Solving for variable 'n'. Reorder the terms: 20 + -9n + n2 = -20 + 9n + 20 + -9n Reorder the terms: 20 + -9n + n2 = -20 + 20 + 9n + -9n Combine like terms: -20 + 20 = 0 20 + -9n + n2 = 0 + 9n + -9n 20 + -9n + n2 = 9n + -9n Combine like terms: 9n + -9n = 0 20 + -9n + n2 = 0 Factor a trinomial. (4 + -1n)(5 + -1n) = 0Subproblem 1
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 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 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {4, 5}
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