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Simplifying n2 = 20n + -100 Reorder the terms: n2 = -100 + 20n Solving n2 = -100 + 20n Solving for variable 'n'. Reorder the terms: 100 + -20n + n2 = -100 + 20n + 100 + -20n Reorder the terms: 100 + -20n + n2 = -100 + 100 + 20n + -20n Combine like terms: -100 + 100 = 0 100 + -20n + n2 = 0 + 20n + -20n 100 + -20n + n2 = 20n + -20n Combine like terms: 20n + -20n = 0 100 + -20n + n2 = 0 Factor a trinomial. (10 + -1n)(10 + -1n) = 0Subproblem 1
Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 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 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10Subproblem 2
Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 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 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10Solution
n = {10, 10}
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