X^6-10x^5-400x^4+2500x^3=0

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Solution for X^6-10x^5-400x^4+2500x^3=0 equation: 


Simplifying
X6 + -10x5 + -400x4 + 2500x3 = 0

Reorder the terms:
X6 + 2500x3 + -400x4 + -10x5 = 0

Solving
X6 + 2500x3 + -400x4 + -10x5 = 0

Solving for variable 'X'.

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

Add '-2500x3' to each side of the equation.
X6 + 2500x3 + -400x4 + -2500x3 + -10x5 = 0 + -2500x3

Reorder the terms:
X6 + 2500x3 + -2500x3 + -400x4 + -10x5 = 0 + -2500x3

Combine like terms: 2500x3 + -2500x3 = 0
X6 + 0 + -400x4 + -10x5 = 0 + -2500x3
X6 + -400x4 + -10x5 = 0 + -2500x3
Remove the zero:
X6 + -400x4 + -10x5 = -2500x3

Add '400x4' to each side of the equation.
X6 + -400x4 + 400x4 + -10x5 = -2500x3 + 400x4

Combine like terms: -400x4 + 400x4 = 0
X6 + 0 + -10x5 = -2500x3 + 400x4
X6 + -10x5 = -2500x3 + 400x4

Add '10x5' to each side of the equation.
X6 + -10x5 + 10x5 = -2500x3 + 400x4 + 10x5

Combine like terms: -10x5 + 10x5 = 0
X6 + 0 = -2500x3 + 400x4 + 10x5
X6 = -2500x3 + 400x4 + 10x5

Simplifying
X6 = -2500x3 + 400x4 + 10x5

Reorder the terms:
X6 + 2500x3 + -400x4 + -10x5 = -2500x3 + 2500x3 + 400x4 + -400x4 + 10x5 + -10x5

Combine like terms: -2500x3 + 2500x3 = 0
X6 + 2500x3 + -400x4 + -10x5 = 0 + 400x4 + -400x4 + 10x5 + -10x5
X6 + 2500x3 + -400x4 + -10x5 = 400x4 + -400x4 + 10x5 + -10x5

Combine like terms: 400x4 + -400x4 = 0
X6 + 2500x3 + -400x4 + -10x5 = 0 + 10x5 + -10x5
X6 + 2500x3 + -400x4 + -10x5 = 10x5 + -10x5

Combine like terms: 10x5 + -10x5 = 0
X6 + 2500x3 + -400x4 + -10x5 = 0

The solution to this equation could not be determined.

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