x(3x^4+7x^3+6x-14)=0

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Solution for x(3x^4+7x^3+6x-14)=0 equation: 


Simplifying
x(3x4 + 7x3 + 6x + -14) = 0

Reorder the terms:
x(-14 + 6x + 7x3 + 3x4) = 0
(-14 * x + 6x * x + 7x3 * x + 3x4 * x) = 0
(-14x + 6x2 + 7x4 + 3x5) = 0

Solving
-14x + 6x2 + 7x4 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 6x + 7x3 + 3x4) = 0


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 '(-14 + 6x + 7x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
-14 + 6x + 7x3 + 3x4 = 0

Solving
-14 + 6x + 7x3 + 3x4 = 0

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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