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Simplifying 6n * 6n + n = 0 Reorder the terms for easier multiplication: 6 * 6n * n + n = 0 Multiply 6 * 6 36n * n + n = 0 Multiply n * n 36n2 + n = 0 Reorder the terms: n + 36n2 = 0 Solving n + 36n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(1 + 36n) = 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 + 36n)' equal to zero and attempt to solve: Simplifying 1 + 36n = 0 Solving 1 + 36n = 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 + 36n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 36n = 0 + -1 36n = 0 + -1 Combine like terms: 0 + -1 = -1 36n = -1 Divide each side by '36'. n = -0.02777777778 Simplifying n = -0.02777777778Solution
n = {0, -0.02777777778}
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