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Simplifying 48n3 + -47n = 0 Reorder the terms: -47n + 48n3 = 0 Solving -47n + 48n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-47 + 48n2) = 0Subproblem 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 '(-47 + 48n2)' equal to zero and attempt to solve: Simplifying -47 + 48n2 = 0 Solving -47 + 48n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 48n2 = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 48n2 = 0 + 47 48n2 = 0 + 47 Combine like terms: 0 + 47 = 47 48n2 = 47 Divide each side by '48'. n2 = 0.9791666667 Simplifying n2 = 0.9791666667 Take the square root of each side: n = {-0.989528507, 0.989528507}Solution
n = {0, -0.989528507, 0.989528507}
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