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Simplifying 10n2 + 41n = 6n Reorder the terms: 41n + 10n2 = 6n Solving 41n + 10n2 = 6n Solving for variable 'n'. Reorder the terms: 41n + -6n + 10n2 = 6n + -6n Combine like terms: 41n + -6n = 35n 35n + 10n2 = 6n + -6n Combine like terms: 6n + -6n = 0 35n + 10n2 = 0 Factor out the Greatest Common Factor (GCF), '5n'. 5n(7 + 2n) = 0 Ignore the factor 5.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 + 2n)' equal to zero and attempt to solve: Simplifying 7 + 2n = 0 Solving 7 + 2n = 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 + 2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 0 + -7 2n = 0 + -7 Combine like terms: 0 + -7 = -7 2n = -7 Divide each side by '2'. n = -3.5 Simplifying n = -3.5Solution
n = {0, -3.5}
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