x^5+5x^4+12x^3+8x^2=0

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Solution for x^5+5x^4+12x^3+8x^2=0 equation: 


Simplifying
x5 + 5x4 + 12x3 + 8x2 = 0

Reorder the terms:
8x2 + 12x3 + 5x4 + x5 = 0

Solving
8x2 + 12x3 + 5x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(8 + 12x + 5x2 + x3) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(8 + 12x + 5x2 + x3)' equal to zero and attempt to solve:

Simplifying
8 + 12x + 5x2 + x3 = 0

Solving
8 + 12x + 5x2 + x3 = 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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