25n^8-49n^7-2n^6=0

Solution for 25n^8-49n^7-2n^6=0 equation:

Simplifying
25n8 + -49n7 + -2n6 = 0

Reorder the terms:
-2n6 + -49n7 + 25n8 = 0

Solving
-2n6 + -49n7 + 25n8 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n6'.
n6(-2 + -49n + 25n2) = 0

Factor a trinomial.
n6((-1 + -25n)(2 + -1n)) = 0

Subproblem 1
Set the factor 'n6' equal to zero and attempt to solve:

Simplifying
n6 = 0

Solving
n6 = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n6 = 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 + -25n)' equal to zero and attempt to solve:

Simplifying
-1 + -25n = 0

Solving
-1 + -25n = 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 + -25n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -25n = 0 + 1
-25n = 0 + 1

Combine like terms: 0 + 1 = 1
-25n = 1

Divide each side by '-25'.
n = -0.04

Simplifying
n = -0.04
Subproblem 3
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-0.04, 2}