6x^6+3x^5+28x^4+14x^3+16x^2+8x=0

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Solution for 6x^6+3x^5+28x^4+14x^3+16x^2+8x=0 equation: 


Simplifying
6x6 + 3x5 + 28x4 + 14x3 + 16x2 + 8x = 0

Reorder the terms:
8x + 16x2 + 14x3 + 28x4 + 3x5 + 6x6 = 0

Solving
8x + 16x2 + 14x3 + 28x4 + 3x5 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 16x + 14x2 + 28x3 + 3x4 + 6x5) = 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 '(8 + 16x + 14x2 + 28x3 + 3x4 + 6x5)' equal to zero and attempt to solve:

Simplifying
8 + 16x + 14x2 + 28x3 + 3x4 + 6x5 = 0

Solving
8 + 16x + 14x2 + 28x3 + 3x4 + 6x5 = 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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