X^4-20x^3+150x^2-500x+3125=0

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Solution for X^4-20x^3+150x^2-500x+3125=0 equation: 


Simplifying
X4 + -20x3 + 150x2 + -500x + 3125 = 0

Reorder the terms:
3125 + X4 + -500x + 150x2 + -20x3 = 0

Solving
3125 + X4 + -500x + 150x2 + -20x3 = 0

Solving for variable 'X'.

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

Add '-3125' to each side of the equation.
3125 + X4 + -500x + 150x2 + -3125 + -20x3 = 0 + -3125

Reorder the terms:
3125 + -3125 + X4 + -500x + 150x2 + -20x3 = 0 + -3125

Combine like terms: 3125 + -3125 = 0
0 + X4 + -500x + 150x2 + -20x3 = 0 + -3125
X4 + -500x + 150x2 + -20x3 = 0 + -3125

Combine like terms: 0 + -3125 = -3125
X4 + -500x + 150x2 + -20x3 = -3125

Add '500x' to each side of the equation.
X4 + -500x + 150x2 + 500x + -20x3 = -3125 + 500x

Reorder the terms:
X4 + -500x + 500x + 150x2 + -20x3 = -3125 + 500x

Combine like terms: -500x + 500x = 0
X4 + 0 + 150x2 + -20x3 = -3125 + 500x
X4 + 150x2 + -20x3 = -3125 + 500x

Add '-150x2' to each side of the equation.
X4 + 150x2 + -150x2 + -20x3 = -3125 + 500x + -150x2

Combine like terms: 150x2 + -150x2 = 0
X4 + 0 + -20x3 = -3125 + 500x + -150x2
X4 + -20x3 = -3125 + 500x + -150x2

Add '20x3' to each side of the equation.
X4 + -20x3 + 20x3 = -3125 + 500x + -150x2 + 20x3

Combine like terms: -20x3 + 20x3 = 0
X4 + 0 = -3125 + 500x + -150x2 + 20x3
X4 = -3125 + 500x + -150x2 + 20x3

Simplifying
X4 = -3125 + 500x + -150x2 + 20x3

Reorder the terms:
3125 + X4 + -500x + 150x2 + -20x3 = -3125 + 500x + -150x2 + 20x3 + 3125 + -500x + 150x2 + -20x3

Reorder the terms:
3125 + X4 + -500x + 150x2 + -20x3 = -3125 + 3125 + 500x + -500x + -150x2 + 150x2 + 20x3 + -20x3

Combine like terms: -3125 + 3125 = 0
3125 + X4 + -500x + 150x2 + -20x3 = 0 + 500x + -500x + -150x2 + 150x2 + 20x3 + -20x3
3125 + X4 + -500x + 150x2 + -20x3 = 500x + -500x + -150x2 + 150x2 + 20x3 + -20x3

Combine like terms: 500x + -500x = 0
3125 + X4 + -500x + 150x2 + -20x3 = 0 + -150x2 + 150x2 + 20x3 + -20x3
3125 + X4 + -500x + 150x2 + -20x3 = -150x2 + 150x2 + 20x3 + -20x3

Combine like terms: -150x2 + 150x2 = 0
3125 + X4 + -500x + 150x2 + -20x3 = 0 + 20x3 + -20x3
3125 + X4 + -500x + 150x2 + -20x3 = 20x3 + -20x3

Combine like terms: 20x3 + -20x3 = 0
3125 + X4 + -500x + 150x2 + -20x3 = 0

The solution to this equation could not be determined.

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