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Simplifying 48n3 = 149n Solving 48n3 = 149n Solving for variable 'n'. Reorder the terms: -149n + 48n3 = 149n + -149n Combine like terms: 149n + -149n = 0 -149n + 48n3 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-149 + 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 '(-149 + 48n2)' equal to zero and attempt to solve: Simplifying -149 + 48n2 = 0 Solving -149 + 48n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '149' to each side of the equation. -149 + 149 + 48n2 = 0 + 149 Combine like terms: -149 + 149 = 0 0 + 48n2 = 0 + 149 48n2 = 0 + 149 Combine like terms: 0 + 149 = 149 48n2 = 149 Divide each side by '48'. n2 = 3.104166667 Simplifying n2 = 3.104166667 Take the square root of each side: n = {-1.761864543, 1.761864543}Solution
n = {0, -1.761864543, 1.761864543}
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