0=6x^5+13x^4-6x^3-21x^2-2x+6

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Solution for 0=6x^5+13x^4-6x^3-21x^2-2x+6 equation: 


Simplifying
0 = 6x5 + 13x4 + -6x3 + -21x2 + -2x + 6

Reorder the terms:
0 = 6 + -2x + -21x2 + -6x3 + 13x4 + 6x5

Solving
0 = 6 + -2x + -21x2 + -6x3 + 13x4 + 6x5

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 6 + -2x + -21x2 + -6x3 + 13x4 + 6x5 + -6 + 2x + 21x2 + 6x3 + -13x4 + -6x5

Reorder the terms:
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 6 + -6 + -2x + 2x + -21x2 + 21x2 + -6x3 + 6x3 + 13x4 + -13x4 + 6x5 + -6x5

Combine like terms: 6 + -6 = 0
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 0 + -2x + 2x + -21x2 + 21x2 + -6x3 + 6x3 + 13x4 + -13x4 + 6x5 + -6x5
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = -2x + 2x + -21x2 + 21x2 + -6x3 + 6x3 + 13x4 + -13x4 + 6x5 + -6x5

Combine like terms: -2x + 2x = 0
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 0 + -21x2 + 21x2 + -6x3 + 6x3 + 13x4 + -13x4 + 6x5 + -6x5
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = -21x2 + 21x2 + -6x3 + 6x3 + 13x4 + -13x4 + 6x5 + -6x5

Combine like terms: -21x2 + 21x2 = 0
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 0 + -6x3 + 6x3 + 13x4 + -13x4 + 6x5 + -6x5
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = -6x3 + 6x3 + 13x4 + -13x4 + 6x5 + -6x5

Combine like terms: -6x3 + 6x3 = 0
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 0 + 13x4 + -13x4 + 6x5 + -6x5
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 13x4 + -13x4 + 6x5 + -6x5

Combine like terms: 13x4 + -13x4 = 0
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 0 + 6x5 + -6x5
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 6x5 + -6x5

Combine like terms: 6x5 + -6x5 = 0
-6 + 2x + 21x2 + 6x3 + -13x4 + -6x5 = 0

The solution to this equation could not be determined.

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