0=x^4+6x^3+44x^2+216x+288

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Solution for 0=x^4+6x^3+44x^2+216x+288 equation: 


Simplifying
0 = x4 + 6x3 + 44x2 + 216x + 288

Reorder the terms:
0 = 288 + 216x + 44x2 + 6x3 + x4

Solving
0 = 288 + 216x + 44x2 + 6x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -288 = -288
-288 + -216x + -44x2 + -6x3 + -1x4 = 288 + 216x + 44x2 + 6x3 + x4 + -288 + -216x + -44x2 + -6x3 + -1x4

Reorder the terms:
-288 + -216x + -44x2 + -6x3 + -1x4 = 288 + -288 + 216x + -216x + 44x2 + -44x2 + 6x3 + -6x3 + x4 + -1x4

Combine like terms: 288 + -288 = 0
-288 + -216x + -44x2 + -6x3 + -1x4 = 0 + 216x + -216x + 44x2 + -44x2 + 6x3 + -6x3 + x4 + -1x4
-288 + -216x + -44x2 + -6x3 + -1x4 = 216x + -216x + 44x2 + -44x2 + 6x3 + -6x3 + x4 + -1x4

Combine like terms: 216x + -216x = 0
-288 + -216x + -44x2 + -6x3 + -1x4 = 0 + 44x2 + -44x2 + 6x3 + -6x3 + x4 + -1x4
-288 + -216x + -44x2 + -6x3 + -1x4 = 44x2 + -44x2 + 6x3 + -6x3 + x4 + -1x4

Combine like terms: 44x2 + -44x2 = 0
-288 + -216x + -44x2 + -6x3 + -1x4 = 0 + 6x3 + -6x3 + x4 + -1x4
-288 + -216x + -44x2 + -6x3 + -1x4 = 6x3 + -6x3 + x4 + -1x4

Combine like terms: 6x3 + -6x3 = 0
-288 + -216x + -44x2 + -6x3 + -1x4 = 0 + x4 + -1x4
-288 + -216x + -44x2 + -6x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-288 + -216x + -44x2 + -6x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(288 + 216x + 44x2 + 6x3 + x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(288 + 216x + 44x2 + 6x3 + x4)' equal to zero and attempt to solve:

Simplifying
288 + 216x + 44x2 + 6x3 + x4 = 0

Solving
288 + 216x + 44x2 + 6x3 + 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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