4n^5=864n^2

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Solution for 4n^5=864n^2 equation:


Simplifying
4n5 = 864n2

Solving
4n5 = 864n2

Solving for variable 'n'.

Reorder the terms:
-864n2 + 4n5 = 864n2 + -864n2

Combine like terms: 864n2 + -864n2 = 0
-864n2 + 4n5 = 0

Factor out the Greatest Common Factor (GCF), '4n2'.
4n2(-216 + n3) = 0

Ignore the factor 4.

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 '(-216 + n3)' equal to zero and attempt to solve: Simplifying -216 + n3 = 0 Solving -216 + n3 = 0 Move all terms containing n to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 216 + n3 = 0 + 216 Combine like terms: -216 + 216 = 0 0 + n3 = 0 + 216 n3 = 0 + 216 Combine like terms: 0 + 216 = 216 n3 = 216 Simplifying n3 = 216 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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