x^6+5x^5+12x^4+16x^3+12x^2+4x=0

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Solution for x^6+5x^5+12x^4+16x^3+12x^2+4x=0 equation:


Simplifying
x6 + 5x5 + 12x4 + 16x3 + 12x2 + 4x = 0

Reorder the terms:
4x + 12x2 + 16x3 + 12x4 + 5x5 + x6 = 0

Solving
4x + 12x2 + 16x3 + 12x4 + 5x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + 12x + 16x2 + 12x3 + 5x4 + x5) = 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 '(4 + 12x + 16x2 + 12x3 + 5x4 + x5)' equal to zero and attempt to solve: Simplifying 4 + 12x + 16x2 + 12x3 + 5x4 + x5 = 0 Solving 4 + 12x + 16x2 + 12x3 + 5x4 + x5 = 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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