0=x^5+5x^4+10x^3+10x^2+5x-0.2

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Solution for 0=x^5+5x^4+10x^3+10x^2+5x-0.2 equation:


Simplifying
0 = x5 + 5x4 + 10x3 + 10x2 + 5x + -0.2

Reorder the terms:
0 = -0.2 + 5x + 10x2 + 10x3 + 5x4 + x5

Solving
0 = -0.2 + 5x + 10x2 + 10x3 + 5x4 + x5

Solving for variable 'x'.

Combine like terms: 0 + 0.2 = 0.2
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = -0.2 + 5x + 10x2 + 10x3 + 5x4 + x5 + 0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5

Reorder the terms:
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = -0.2 + 0.2 + 5x + -5x + 10x2 + -10x2 + 10x3 + -10x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -0.2 + 0.2 = 0.0
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 0.0 + 5x + -5x + 10x2 + -10x2 + 10x3 + -10x3 + 5x4 + -5x4 + x5 + -1x5
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 5x + -5x + 10x2 + -10x2 + 10x3 + -10x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: 5x + -5x = 0
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 0 + 10x2 + -10x2 + 10x3 + -10x3 + 5x4 + -5x4 + x5 + -1x5
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 10x2 + -10x2 + 10x3 + -10x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: 10x2 + -10x2 = 0
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 0 + 10x3 + -10x3 + 5x4 + -5x4 + x5 + -1x5
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 10x3 + -10x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: 10x3 + -10x3 = 0
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 0 + 5x4 + -5x4 + x5 + -1x5
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 5x4 + -5x4 + x5 + -1x5

Combine like terms: 5x4 + -5x4 = 0
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 0 + x5 + -1x5
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
0.2 + -5x + -10x2 + -10x3 + -5x4 + -1x5 = 0

The solution to this equation could not be determined.

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