=5n+6n^4-7n+15n^4+13n

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Solution for =5n+6n^4-7n+15n^4+13n equation:


Simplifying
0 = 5n + 6n4 + -7n + 15n4 + 13n

Reorder the terms:
0 = 5n + -7n + 13n + 6n4 + 15n4

Combine like terms: 5n + -7n = -2n
0 = -2n + 13n + 6n4 + 15n4

Combine like terms: -2n + 13n = 11n
0 = 11n + 6n4 + 15n4

Combine like terms: 6n4 + 15n4 = 21n4
0 = 11n + 21n4

Solving
0 = 11n + 21n4

Solving for variable 'n'.
Remove the zero:
-11n + -21n4 = 11n + 21n4 + -11n + -21n4

Reorder the terms:
-11n + -21n4 = 11n + -11n + 21n4 + -21n4

Combine like terms: 11n + -11n = 0
-11n + -21n4 = 0 + 21n4 + -21n4
-11n + -21n4 = 21n4 + -21n4

Combine like terms: 21n4 + -21n4 = 0
-11n + -21n4 = 0

Factor out the Greatest Common Factor (GCF), '-1n'.
-1n(11 + 21n3) = 0

Ignore the factor -1.

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 = 0

Subproblem 2

Set the factor '(11 + 21n3)' equal to zero and attempt to solve: Simplifying 11 + 21n3 = 0 Solving 11 + 21n3 = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 21n3 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 21n3 = 0 + -11 21n3 = 0 + -11 Combine like terms: 0 + -11 = -11 21n3 = -11 Divide each side by '21'. n3 = -0.5238095238 Simplifying n3 = -0.5238095238 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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