24n^3-64n^2=

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Solution for 24n^3-64n^2= equation:


Simplifying
24n3 + -64n2 = 0

Reorder the terms:
-64n2 + 24n3 = 0

Solving
-64n2 + 24n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n2'.
8n2(-8 + 3n) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}

Subproblem 2

Set the factor '(-8 + 3n)' equal to zero and attempt to solve: Simplifying -8 + 3n = 0 Solving -8 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 0 + 8 3n = 0 + 8 Combine like terms: 0 + 8 = 8 3n = 8 Divide each side by '3'. n = 2.666666667 Simplifying n = 2.666666667

Solution

n = {0, 2.666666667}

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