0=x^4+8x^3+18x^2+8x+4

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Solution for 0=x^4+8x^3+18x^2+8x+4 equation: 


Simplifying
0 = x4 + 8x3 + 18x2 + 8x + 4

Reorder the terms:
0 = 4 + 8x + 18x2 + 8x3 + x4

Solving
0 = 4 + 8x + 18x2 + 8x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + -8x + -18x2 + -8x3 + -1x4 = 4 + 8x + 18x2 + 8x3 + x4 + -4 + -8x + -18x2 + -8x3 + -1x4

Reorder the terms:
-4 + -8x + -18x2 + -8x3 + -1x4 = 4 + -4 + 8x + -8x + 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 4 + -4 = 0
-4 + -8x + -18x2 + -8x3 + -1x4 = 0 + 8x + -8x + 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4
-4 + -8x + -18x2 + -8x3 + -1x4 = 8x + -8x + 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 8x + -8x = 0
-4 + -8x + -18x2 + -8x3 + -1x4 = 0 + 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4
-4 + -8x + -18x2 + -8x3 + -1x4 = 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 18x2 + -18x2 = 0
-4 + -8x + -18x2 + -8x3 + -1x4 = 0 + 8x3 + -8x3 + x4 + -1x4
-4 + -8x + -18x2 + -8x3 + -1x4 = 8x3 + -8x3 + x4 + -1x4

Combine like terms: 8x3 + -8x3 = 0
-4 + -8x + -18x2 + -8x3 + -1x4 = 0 + x4 + -1x4
-4 + -8x + -18x2 + -8x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-4 + -8x + -18x2 + -8x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 8x + 18x2 + 8x3 + x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + 8x + 18x2 + 8x3 + x4)' equal to zero and attempt to solve:

Simplifying
4 + 8x + 18x2 + 8x3 + x4 = 0

Solving
4 + 8x + 18x2 + 8x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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