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Simplifying 30n2 + 6n = 0 Reorder the terms: 6n + 30n2 = 0 Solving 6n + 30n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n'. 6n(1 + 5n) = 0 Ignore the factor 6.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 + 5n)' equal to zero and attempt to solve: Simplifying 1 + 5n = 0 Solving 1 + 5n = 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 + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 0 + -1 5n = 0 + -1 Combine like terms: 0 + -1 = -1 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2Solution
n = {0, -0.2}
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