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Simplifying 10n2 + 28n = 0 Reorder the terms: 28n + 10n2 = 0 Solving 28n + 10n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(14 + 5n) = 0 Ignore the factor 2.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 '(14 + 5n)' equal to zero and attempt to solve: Simplifying 14 + 5n = 0 Solving 14 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5n = 0 + -14 5n = 0 + -14 Combine like terms: 0 + -14 = -14 5n = -14 Divide each side by '5'. n = -2.8 Simplifying n = -2.8Solution
n = {0, -2.8}
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