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Simplifying n2 + -14n + -7n = 0 Reorder the terms: -14n + -7n + n2 = 0 Combine like terms: -14n + -7n = -21n -21n + n2 = 0 Solving -21n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-21 + 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 '(-21 + n)' equal to zero and attempt to solve: Simplifying -21 + n = 0 Solving -21 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + n = 0 + 21 n = 0 + 21 Combine like terms: 0 + 21 = 21 n = 21 Simplifying n = 21Solution
n = {0, 21}
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