0=120x^4-154x^3+71x^2-14x+1

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Solution for 0=120x^4-154x^3+71x^2-14x+1 equation: 


Simplifying
0 = 120x4 + -154x3 + 71x2 + -14x + 1

Reorder the terms:
0 = 1 + -14x + 71x2 + -154x3 + 120x4

Solving
0 = 1 + -14x + 71x2 + -154x3 + 120x4

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 14x + -71x2 + 154x3 + -120x4 = 1 + -14x + 71x2 + -154x3 + 120x4 + -1 + 14x + -71x2 + 154x3 + -120x4

Reorder the terms:
-1 + 14x + -71x2 + 154x3 + -120x4 = 1 + -1 + -14x + 14x + 71x2 + -71x2 + -154x3 + 154x3 + 120x4 + -120x4

Combine like terms: 1 + -1 = 0
-1 + 14x + -71x2 + 154x3 + -120x4 = 0 + -14x + 14x + 71x2 + -71x2 + -154x3 + 154x3 + 120x4 + -120x4
-1 + 14x + -71x2 + 154x3 + -120x4 = -14x + 14x + 71x2 + -71x2 + -154x3 + 154x3 + 120x4 + -120x4

Combine like terms: -14x + 14x = 0
-1 + 14x + -71x2 + 154x3 + -120x4 = 0 + 71x2 + -71x2 + -154x3 + 154x3 + 120x4 + -120x4
-1 + 14x + -71x2 + 154x3 + -120x4 = 71x2 + -71x2 + -154x3 + 154x3 + 120x4 + -120x4

Combine like terms: 71x2 + -71x2 = 0
-1 + 14x + -71x2 + 154x3 + -120x4 = 0 + -154x3 + 154x3 + 120x4 + -120x4
-1 + 14x + -71x2 + 154x3 + -120x4 = -154x3 + 154x3 + 120x4 + -120x4

Combine like terms: -154x3 + 154x3 = 0
-1 + 14x + -71x2 + 154x3 + -120x4 = 0 + 120x4 + -120x4
-1 + 14x + -71x2 + 154x3 + -120x4 = 120x4 + -120x4

Combine like terms: 120x4 + -120x4 = 0
-1 + 14x + -71x2 + 154x3 + -120x4 = 0

The solution to this equation could not be determined.

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