n^6-n^5=7n^3-7n^4

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Solution for n^6-n^5=7n^3-7n^4 equation:


Simplifying
n6 + -1n5 = 7n3 + -7n4

Reorder the terms:
-1n5 + n6 = 7n3 + -7n4

Solving
-1n5 + n6 = 7n3 + -7n4

Solving for variable 'n'.

Reorder the terms:
-7n3 + 7n4 + -1n5 + n6 = 7n3 + -7n4 + -7n3 + 7n4

Reorder the terms:
-7n3 + 7n4 + -1n5 + n6 = 7n3 + -7n3 + -7n4 + 7n4

Combine like terms: 7n3 + -7n3 = 0
-7n3 + 7n4 + -1n5 + n6 = 0 + -7n4 + 7n4
-7n3 + 7n4 + -1n5 + n6 = -7n4 + 7n4

Combine like terms: -7n4 + 7n4 = 0
-7n3 + 7n4 + -1n5 + n6 = 0

Factor out the Greatest Common Factor (GCF), 'n3'.
n3(-7 + 7n + -1n2 + n3) = 0

Subproblem 1

Set the factor 'n3' equal to zero and attempt to solve: Simplifying n3 = 0 Solving n3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-7 + 7n + -1n2 + n3)' equal to zero and attempt to solve: Simplifying -7 + 7n + -1n2 + n3 = 0 Solving -7 + 7n + -1n2 + n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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