4n^6-28n^5-32n^4=

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Solution for 4n^6-28n^5-32n^4= equation:


Simplifying
4n6 + -28n5 + -32n4 = 0

Reorder the terms:
-32n4 + -28n5 + 4n6 = 0

Solving
-32n4 + -28n5 + 4n6 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n4'.
4n4(-8 + -7n + n2) = 0

Factor a trinomial.
4n4((-1 + -1n)(8 + -1n)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'n4' equal to zero and attempt to solve: Simplifying n4 = 0 Solving n4 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n4 = 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 '(-1 + -1n)' equal to zero and attempt to solve: Simplifying -1 + -1n = 0 Solving -1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = 0 + 1 -1n = 0 + 1 Combine like terms: 0 + 1 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1

Subproblem 3

Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 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 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8

Solution

n = {-1, 8}

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