0=2x^4-13x^3+32x^2-53x+20

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Solution for 0=2x^4-13x^3+32x^2-53x+20 equation: 


Simplifying
0 = 2x4 + -13x3 + 32x2 + -53x + 20

Reorder the terms:
0 = 20 + -53x + 32x2 + -13x3 + 2x4

Solving
0 = 20 + -53x + 32x2 + -13x3 + 2x4

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + 53x + -32x2 + 13x3 + -2x4 = 20 + -53x + 32x2 + -13x3 + 2x4 + -20 + 53x + -32x2 + 13x3 + -2x4

Reorder the terms:
-20 + 53x + -32x2 + 13x3 + -2x4 = 20 + -20 + -53x + 53x + 32x2 + -32x2 + -13x3 + 13x3 + 2x4 + -2x4

Combine like terms: 20 + -20 = 0
-20 + 53x + -32x2 + 13x3 + -2x4 = 0 + -53x + 53x + 32x2 + -32x2 + -13x3 + 13x3 + 2x4 + -2x4
-20 + 53x + -32x2 + 13x3 + -2x4 = -53x + 53x + 32x2 + -32x2 + -13x3 + 13x3 + 2x4 + -2x4

Combine like terms: -53x + 53x = 0
-20 + 53x + -32x2 + 13x3 + -2x4 = 0 + 32x2 + -32x2 + -13x3 + 13x3 + 2x4 + -2x4
-20 + 53x + -32x2 + 13x3 + -2x4 = 32x2 + -32x2 + -13x3 + 13x3 + 2x4 + -2x4

Combine like terms: 32x2 + -32x2 = 0
-20 + 53x + -32x2 + 13x3 + -2x4 = 0 + -13x3 + 13x3 + 2x4 + -2x4
-20 + 53x + -32x2 + 13x3 + -2x4 = -13x3 + 13x3 + 2x4 + -2x4

Combine like terms: -13x3 + 13x3 = 0
-20 + 53x + -32x2 + 13x3 + -2x4 = 0 + 2x4 + -2x4
-20 + 53x + -32x2 + 13x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
-20 + 53x + -32x2 + 13x3 + -2x4 = 0

The solution to this equation could not be determined.

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