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Simplifying n2 + -38n = 0 Reorder the terms: -38n + n2 = 0 Solving -38n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-38 + 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 '(-38 + n)' equal to zero and attempt to solve: Simplifying -38 + n = 0 Solving -38 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + n = 0 + 38 n = 0 + 38 Combine like terms: 0 + 38 = 38 n = 38 Simplifying n = 38Solution
n = {0, 38}
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