=x^4+4x^3+6x^2+7x+2

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Solution for =x^4+4x^3+6x^2+7x+2 equation: 


Simplifying
0 = x4 + 4x3 + 6x2 + 7x + 2

Reorder the terms:
0 = 2 + 7x + 6x2 + 4x3 + x4

Solving
0 = 2 + 7x + 6x2 + 4x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -2 = -2
-2 + -7x + -6x2 + -4x3 + -1x4 = 2 + 7x + 6x2 + 4x3 + x4 + -2 + -7x + -6x2 + -4x3 + -1x4

Reorder the terms:
-2 + -7x + -6x2 + -4x3 + -1x4 = 2 + -2 + 7x + -7x + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4

Combine like terms: 2 + -2 = 0
-2 + -7x + -6x2 + -4x3 + -1x4 = 0 + 7x + -7x + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4
-2 + -7x + -6x2 + -4x3 + -1x4 = 7x + -7x + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4

Combine like terms: 7x + -7x = 0
-2 + -7x + -6x2 + -4x3 + -1x4 = 0 + 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4
-2 + -7x + -6x2 + -4x3 + -1x4 = 6x2 + -6x2 + 4x3 + -4x3 + x4 + -1x4

Combine like terms: 6x2 + -6x2 = 0
-2 + -7x + -6x2 + -4x3 + -1x4 = 0 + 4x3 + -4x3 + x4 + -1x4
-2 + -7x + -6x2 + -4x3 + -1x4 = 4x3 + -4x3 + x4 + -1x4

Combine like terms: 4x3 + -4x3 = 0
-2 + -7x + -6x2 + -4x3 + -1x4 = 0 + x4 + -1x4
-2 + -7x + -6x2 + -4x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-2 + -7x + -6x2 + -4x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 7x + 6x2 + 4x3 + x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(2 + 7x + 6x2 + 4x3 + x4)' equal to zero and attempt to solve:

Simplifying
2 + 7x + 6x2 + 4x3 + x4 = 0

Solving
2 + 7x + 6x2 + 4x3 + 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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