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Simplifying n2 + -4n + -5 = -5 Reorder the terms: -5 + -4n + n2 = -5 Add '5' to each side of the equation. -5 + -4n + 5 + n2 = -5 + 5 Reorder the terms: -5 + 5 + -4n + n2 = -5 + 5 Combine like terms: -5 + 5 = 0 0 + -4n + n2 = -5 + 5 -4n + n2 = -5 + 5 Combine like terms: -5 + 5 = 0 -4n + n2 = 0 Solving -4n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-4 + 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 '(-4 + n)' equal to zero and attempt to solve: Simplifying -4 + n = 0 Solving -4 + n = 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 + n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + n = 0 + 4 n = 0 + 4 Combine like terms: 0 + 4 = 4 n = 4 Simplifying n = 4Solution
n = {0, 4}
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