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Simplifying 6n(6n + -6) = 0 Reorder the terms: 6n(-6 + 6n) = 0 (-6 * 6n + 6n * 6n) = 0 (-36n + 36n2) = 0 Solving -36n + 36n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '36n'. 36n(-1 + n) = 0 Ignore the factor 36.Subproblem 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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