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Simplifying n2 + -16n + 90 = 26 Reorder the terms: 90 + -16n + n2 = 26 Solving 90 + -16n + n2 = 26 Solving for variable 'n'. Reorder the terms: 90 + -26 + -16n + n2 = 26 + -26 Combine like terms: 90 + -26 = 64 64 + -16n + n2 = 26 + -26 Combine like terms: 26 + -26 = 0 64 + -16n + n2 = 0 Factor a trinomial. (8 + -1n)(8 + -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 '(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 = {8, 8}
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