-6x-3=x^4+2x^3+2x^2+2x+1

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Solution for -6x-3=x^4+2x^3+2x^2+2x+1 equation:


Simplifying
-6x + -3 = x4 + 2x3 + 2x2 + 2x + 1

Reorder the terms:
-3 + -6x = x4 + 2x3 + 2x2 + 2x + 1

Reorder the terms:
-3 + -6x = 1 + 2x + 2x2 + 2x3 + x4

Solving
-3 + -6x = 1 + 2x + 2x2 + 2x3 + x4

Solving for variable 'x'.

Reorder the terms:
-3 + -1 + -6x + -2x + -2x2 + -2x3 + -1x4 = 1 + 2x + 2x2 + 2x3 + x4 + -1 + -2x + -2x2 + -2x3 + -1x4

Combine like terms: -3 + -1 = -4
-4 + -6x + -2x + -2x2 + -2x3 + -1x4 = 1 + 2x + 2x2 + 2x3 + x4 + -1 + -2x + -2x2 + -2x3 + -1x4

Combine like terms: -6x + -2x = -8x
-4 + -8x + -2x2 + -2x3 + -1x4 = 1 + 2x + 2x2 + 2x3 + x4 + -1 + -2x + -2x2 + -2x3 + -1x4

Reorder the terms:
-4 + -8x + -2x2 + -2x3 + -1x4 = 1 + -1 + 2x + -2x + 2x2 + -2x2 + 2x3 + -2x3 + x4 + -1x4

Combine like terms: 1 + -1 = 0
-4 + -8x + -2x2 + -2x3 + -1x4 = 0 + 2x + -2x + 2x2 + -2x2 + 2x3 + -2x3 + x4 + -1x4
-4 + -8x + -2x2 + -2x3 + -1x4 = 2x + -2x + 2x2 + -2x2 + 2x3 + -2x3 + x4 + -1x4

Combine like terms: 2x + -2x = 0
-4 + -8x + -2x2 + -2x3 + -1x4 = 0 + 2x2 + -2x2 + 2x3 + -2x3 + x4 + -1x4
-4 + -8x + -2x2 + -2x3 + -1x4 = 2x2 + -2x2 + 2x3 + -2x3 + x4 + -1x4

Combine like terms: 2x2 + -2x2 = 0
-4 + -8x + -2x2 + -2x3 + -1x4 = 0 + 2x3 + -2x3 + x4 + -1x4
-4 + -8x + -2x2 + -2x3 + -1x4 = 2x3 + -2x3 + x4 + -1x4

Combine like terms: 2x3 + -2x3 = 0
-4 + -8x + -2x2 + -2x3 + -1x4 = 0 + x4 + -1x4
-4 + -8x + -2x2 + -2x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-4 + -8x + -2x2 + -2x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 8x + 2x2 + 2x3 + x4) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 8x + 2x2 + 2x3 + x4)' equal to zero and attempt to solve: Simplifying 4 + 8x + 2x2 + 2x3 + x4 = 0 Solving 4 + 8x + 2x2 + 2x3 + 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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