X^5-5x^4+4x^3-20x^2=0

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Solution for X^5-5x^4+4x^3-20x^2=0 equation:


Simplifying
X5 + -5x4 + 4x3 + -20x2 = 0

Reorder the terms:
X5 + -20x2 + 4x3 + -5x4 = 0

Solving
X5 + -20x2 + 4x3 + -5x4 = 0

Solving for variable 'X'.

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

Add '20x2' to each side of the equation.
X5 + -20x2 + 4x3 + 20x2 + -5x4 = 0 + 20x2

Reorder the terms:
X5 + -20x2 + 20x2 + 4x3 + -5x4 = 0 + 20x2

Combine like terms: -20x2 + 20x2 = 0
X5 + 0 + 4x3 + -5x4 = 0 + 20x2
X5 + 4x3 + -5x4 = 0 + 20x2
Remove the zero:
X5 + 4x3 + -5x4 = 20x2

Add '-4x3' to each side of the equation.
X5 + 4x3 + -4x3 + -5x4 = 20x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
X5 + 0 + -5x4 = 20x2 + -4x3
X5 + -5x4 = 20x2 + -4x3

Add '5x4' to each side of the equation.
X5 + -5x4 + 5x4 = 20x2 + -4x3 + 5x4

Combine like terms: -5x4 + 5x4 = 0
X5 + 0 = 20x2 + -4x3 + 5x4
X5 = 20x2 + -4x3 + 5x4

Simplifying
X5 = 20x2 + -4x3 + 5x4

Reorder the terms:
X5 + -20x2 + 4x3 + -5x4 = 20x2 + -20x2 + -4x3 + 4x3 + 5x4 + -5x4

Combine like terms: 20x2 + -20x2 = 0
X5 + -20x2 + 4x3 + -5x4 = 0 + -4x3 + 4x3 + 5x4 + -5x4
X5 + -20x2 + 4x3 + -5x4 = -4x3 + 4x3 + 5x4 + -5x4

Combine like terms: -4x3 + 4x3 = 0
X5 + -20x2 + 4x3 + -5x4 = 0 + 5x4 + -5x4
X5 + -20x2 + 4x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
X5 + -20x2 + 4x3 + -5x4 = 0

The solution to this equation could not be determined.

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