54x^4+686x=0

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Solution for 54x^4+686x=0 equation: 


Simplifying
54x4 + 686x = 0

Reorder the terms:
686x + 54x4 = 0

Solving
686x + 54x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(343 + 27x3) = 0

Ignore the factor 2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(343 + 27x3)' equal to zero and attempt to solve:

Simplifying
343 + 27x3 = 0

Solving
343 + 27x3 = 0

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

Add '-343' to each side of the equation.
343 + -343 + 27x3 = 0 + -343

Combine like terms: 343 + -343 = 0
0 + 27x3 = 0 + -343
27x3 = 0 + -343

Combine like terms: 0 + -343 = -343
27x3 = -343

Divide each side by '27'.
x3 = -12.7037037

Simplifying
x3 = -12.7037037

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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