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Simplifying 12n2 + 78n = 0 Reorder the terms: 78n + 12n2 = 0 Solving 78n + 12n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6n'. 6n(13 + 2n) = 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 '(13 + 2n)' equal to zero and attempt to solve: Simplifying 13 + 2n = 0 Solving 13 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2n = 0 + -13 2n = 0 + -13 Combine like terms: 0 + -13 = -13 2n = -13 Divide each side by '2'. n = -6.5 Simplifying n = -6.5Solution
n = {0, -6.5}
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