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Simplifying 48n2 = 147n Solving 48n2 = 147n Solving for variable 'n'. Reorder the terms: -147n + 48n2 = 147n + -147n Combine like terms: 147n + -147n = 0 -147n + 48n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-49 + 16n) = 0 Ignore the factor 3.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 '(-49 + 16n)' equal to zero and attempt to solve: Simplifying -49 + 16n = 0 Solving -49 + 16n = 0 Move all terms containing n to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 16n = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 16n = 0 + 49 16n = 0 + 49 Combine like terms: 0 + 49 = 49 16n = 49 Divide each side by '16'. n = 3.0625 Simplifying n = 3.0625Solution
n = {0, 3.0625}
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