600n^7-486n^3=0

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Solution for 600n^7-486n^3=0 equation: 


Simplifying
600n7 + -486n3 = 0

Reorder the terms:
-486n3 + 600n7 = 0

Solving
-486n3 + 600n7 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n3'.
6n3(-81 + 100n4) = 0

Factor a difference between two squares.
6n3((9 + 10n2)(-9 + 10n2)) = 0

Ignore the factor 6.

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 '(9 + 10n2)' equal to zero and attempt to solve:

Simplifying
9 + 10n2 = 0

Solving
9 + 10n2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + 10n2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10n2 = 0 + -9
10n2 = 0 + -9

Combine like terms: 0 + -9 = -9
10n2 = -9

Divide each side by '10'.
n2 = -0.9

Simplifying
n2 = -0.9

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-9 + 10n2)' equal to zero and attempt to solve:

Simplifying
-9 + 10n2 = 0

Solving
-9 + 10n2 = 0

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

Add '9' to each side of the equation.
-9 + 9 + 10n2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 10n2 = 0 + 9
10n2 = 0 + 9

Combine like terms: 0 + 9 = 9
10n2 = 9

Divide each side by '10'.
n2 = 0.9

Simplifying
n2 = 0.9

Take the square root of each side:
n = {-0.948683298, 0.948683298}
Solution
n = {-0.948683298, 0.948683298}

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