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Simplifying 84n2 + 49n = 0 Reorder the terms: 49n + 84n2 = 0 Solving 49n + 84n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '7n'. 7n(7 + 12n) = 0 Ignore the factor 7.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 + 12n)' equal to zero and attempt to solve: Simplifying 7 + 12n = 0 Solving 7 + 12n = 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 + 12n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12n = 0 + -7 12n = 0 + -7 Combine like terms: 0 + -7 = -7 12n = -7 Divide each side by '12'. n = -0.5833333333 Simplifying n = -0.5833333333Solution
n = {0, -0.5833333333}
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