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Simplifying 48n3 = 147n Solving 48n3 = 147n Solving for variable 'n'. Reorder the terms: -147n + 48n3 = 147n + -147n Combine like terms: 147n + -147n = 0 -147n + 48n3 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(-49 + 16n2) = 0 Factor a difference between two squares. 3n((7 + 4n)(-7 + 4n)) = 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 '(7 + 4n)' equal to zero and attempt to solve: Simplifying 7 + 4n = 0 Solving 7 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 0 + -7 4n = 0 + -7 Combine like terms: 0 + -7 = -7 4n = -7 Divide each side by '4'. n = -1.75 Simplifying n = -1.75Subproblem 3
Set the factor '(-7 + 4n)' equal to zero and attempt to solve: Simplifying -7 + 4n = 0 Solving -7 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 0 + 7 4n = 0 + 7 Combine like terms: 0 + 7 = 7 4n = 7 Divide each side by '4'. n = 1.75 Simplifying n = 1.75Solution
n = {0, -1.75, 1.75}
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