0=x^4+8x^3+18x^2+16x

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Solution for 0=x^4+8x^3+18x^2+16x equation: 


Simplifying
0 = x4 + 8x3 + 18x2 + 16x

Reorder the terms:
0 = 16x + 18x2 + 8x3 + x4

Solving
0 = 16x + 18x2 + 8x3 + x4

Solving for variable 'x'.
Remove the zero:
-16x + -18x2 + -8x3 + -1x4 = 16x + 18x2 + 8x3 + x4 + -16x + -18x2 + -8x3 + -1x4

Reorder the terms:
-16x + -18x2 + -8x3 + -1x4 = 16x + -16x + 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 16x + -16x = 0
-16x + -18x2 + -8x3 + -1x4 = 0 + 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4
-16x + -18x2 + -8x3 + -1x4 = 18x2 + -18x2 + 8x3 + -8x3 + x4 + -1x4

Combine like terms: 18x2 + -18x2 = 0
-16x + -18x2 + -8x3 + -1x4 = 0 + 8x3 + -8x3 + x4 + -1x4
-16x + -18x2 + -8x3 + -1x4 = 8x3 + -8x3 + x4 + -1x4

Combine like terms: 8x3 + -8x3 = 0
-16x + -18x2 + -8x3 + -1x4 = 0 + x4 + -1x4
-16x + -18x2 + -8x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-16x + -18x2 + -8x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(16 + 18x + 8x2 + x3) = 0

Ignore the factor -1.

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 '(16 + 18x + 8x2 + x3)' equal to zero and attempt to solve:

Simplifying
16 + 18x + 8x2 + x3 = 0

Solving
16 + 18x + 8x2 + 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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