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Simplifying 30n2 + 21n = 0 Reorder the terms: 21n + 30n2 = 0 Solving 21n + 30n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(7 + 10n) = 0 Ignore the factor 3.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 '(7 + 10n)' equal to zero and attempt to solve: Simplifying 7 + 10n = 0 Solving 7 + 10n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10n = 0 + -7 10n = 0 + -7 Combine like terms: 0 + -7 = -7 10n = -7 Divide each side by '10'. n = -0.7 Simplifying n = -0.7Solution
n = {0, -0.7}
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