X^4+20x^3+150x^2+500x+609=0

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Solution for X^4+20x^3+150x^2+500x+609=0 equation: 


Simplifying
X4 + 20x3 + 150x2 + 500x + 609 = 0

Reorder the terms:
609 + X4 + 500x + 150x2 + 20x3 = 0

Solving
609 + X4 + 500x + 150x2 + 20x3 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-609' to each side of the equation.
609 + X4 + 500x + 150x2 + -609 + 20x3 = 0 + -609

Reorder the terms:
609 + -609 + X4 + 500x + 150x2 + 20x3 = 0 + -609

Combine like terms: 609 + -609 = 0
0 + X4 + 500x + 150x2 + 20x3 = 0 + -609
X4 + 500x + 150x2 + 20x3 = 0 + -609

Combine like terms: 0 + -609 = -609
X4 + 500x + 150x2 + 20x3 = -609

Add '-500x' to each side of the equation.
X4 + 500x + 150x2 + -500x + 20x3 = -609 + -500x

Reorder the terms:
X4 + 500x + -500x + 150x2 + 20x3 = -609 + -500x

Combine like terms: 500x + -500x = 0
X4 + 0 + 150x2 + 20x3 = -609 + -500x
X4 + 150x2 + 20x3 = -609 + -500x

Add '-150x2' to each side of the equation.
X4 + 150x2 + -150x2 + 20x3 = -609 + -500x + -150x2

Combine like terms: 150x2 + -150x2 = 0
X4 + 0 + 20x3 = -609 + -500x + -150x2
X4 + 20x3 = -609 + -500x + -150x2

Add '-20x3' to each side of the equation.
X4 + 20x3 + -20x3 = -609 + -500x + -150x2 + -20x3

Combine like terms: 20x3 + -20x3 = 0
X4 + 0 = -609 + -500x + -150x2 + -20x3
X4 = -609 + -500x + -150x2 + -20x3

Simplifying
X4 = -609 + -500x + -150x2 + -20x3

Reorder the terms:
609 + X4 + 500x + 150x2 + 20x3 = -609 + -500x + -150x2 + -20x3 + 609 + 500x + 150x2 + 20x3

Reorder the terms:
609 + X4 + 500x + 150x2 + 20x3 = -609 + 609 + -500x + 500x + -150x2 + 150x2 + -20x3 + 20x3

Combine like terms: -609 + 609 = 0
609 + X4 + 500x + 150x2 + 20x3 = 0 + -500x + 500x + -150x2 + 150x2 + -20x3 + 20x3
609 + X4 + 500x + 150x2 + 20x3 = -500x + 500x + -150x2 + 150x2 + -20x3 + 20x3

Combine like terms: -500x + 500x = 0
609 + X4 + 500x + 150x2 + 20x3 = 0 + -150x2 + 150x2 + -20x3 + 20x3
609 + X4 + 500x + 150x2 + 20x3 = -150x2 + 150x2 + -20x3 + 20x3

Combine like terms: -150x2 + 150x2 = 0
609 + X4 + 500x + 150x2 + 20x3 = 0 + -20x3 + 20x3
609 + X4 + 500x + 150x2 + 20x3 = -20x3 + 20x3

Combine like terms: -20x3 + 20x3 = 0
609 + X4 + 500x + 150x2 + 20x3 = 0

The solution to this equation could not be determined.

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