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Simplifying 78n2 + 24n = 0 Reorder the terms: 24n + 78n2 = 0 Solving 24n + 78n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n'. 6n(4 + 13n) = 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 '(4 + 13n)' equal to zero and attempt to solve: Simplifying 4 + 13n = 0 Solving 4 + 13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13n = 0 + -4 13n = 0 + -4 Combine like terms: 0 + -4 = -4 13n = -4 Divide each side by '13'. n = -0.3076923077 Simplifying n = -0.3076923077Solution
n = {0, -0.3076923077}
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