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Simplifying 110 = n2 + -1n Reorder the terms: 110 = -1n + n2 Solving 110 = -1n + n2 Solving for variable 'n'. Reorder the terms: 110 + n + -1n2 = -1n + n + n2 + -1n2 Combine like terms: -1n + n = 0 110 + n + -1n2 = 0 + n2 + -1n2 110 + n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 110 + n + -1n2 = 0 Factor a trinomial. (11 + -1n)(10 + n) = 0Subproblem 1
Set the factor '(11 + -1n)' equal to zero and attempt to solve: Simplifying 11 + -1n = 0 Solving 11 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1n = 0 + -11 -1n = 0 + -11 Combine like terms: 0 + -11 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11Subproblem 2
Set the factor '(10 + n)' equal to zero and attempt to solve: Simplifying 10 + n = 0 Solving 10 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + n = 0 + -10 n = 0 + -10 Combine like terms: 0 + -10 = -10 n = -10 Simplifying n = -10Solution
n = {11, -10}
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