0=5x^4-20x^3+15x^2-8x+1

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Solution for 0=5x^4-20x^3+15x^2-8x+1 equation:


Simplifying
0 = 5x4 + -20x3 + 15x2 + -8x + 1

Reorder the terms:
0 = 1 + -8x + 15x2 + -20x3 + 5x4

Solving
0 = 1 + -8x + 15x2 + -20x3 + 5x4

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 8x + -15x2 + 20x3 + -5x4 = 1 + -8x + 15x2 + -20x3 + 5x4 + -1 + 8x + -15x2 + 20x3 + -5x4

Reorder the terms:
-1 + 8x + -15x2 + 20x3 + -5x4 = 1 + -1 + -8x + 8x + 15x2 + -15x2 + -20x3 + 20x3 + 5x4 + -5x4

Combine like terms: 1 + -1 = 0
-1 + 8x + -15x2 + 20x3 + -5x4 = 0 + -8x + 8x + 15x2 + -15x2 + -20x3 + 20x3 + 5x4 + -5x4
-1 + 8x + -15x2 + 20x3 + -5x4 = -8x + 8x + 15x2 + -15x2 + -20x3 + 20x3 + 5x4 + -5x4

Combine like terms: -8x + 8x = 0
-1 + 8x + -15x2 + 20x3 + -5x4 = 0 + 15x2 + -15x2 + -20x3 + 20x3 + 5x4 + -5x4
-1 + 8x + -15x2 + 20x3 + -5x4 = 15x2 + -15x2 + -20x3 + 20x3 + 5x4 + -5x4

Combine like terms: 15x2 + -15x2 = 0
-1 + 8x + -15x2 + 20x3 + -5x4 = 0 + -20x3 + 20x3 + 5x4 + -5x4
-1 + 8x + -15x2 + 20x3 + -5x4 = -20x3 + 20x3 + 5x4 + -5x4

Combine like terms: -20x3 + 20x3 = 0
-1 + 8x + -15x2 + 20x3 + -5x4 = 0 + 5x4 + -5x4
-1 + 8x + -15x2 + 20x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
-1 + 8x + -15x2 + 20x3 + -5x4 = 0

The solution to this equation could not be determined.

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