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