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

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


Simplifying
X4 + -5x3 + -4x2 + 20x = 0

Reorder the terms:
X4 + 20x + -4x2 + -5x3 = 0

Solving
X4 + 20x + -4x2 + -5x3 = 0

Solving for variable 'X'.

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

Add '-20x' to each side of the equation.
X4 + 20x + -4x2 + -20x + -5x3 = 0 + -20x

Reorder the terms:
X4 + 20x + -20x + -4x2 + -5x3 = 0 + -20x

Combine like terms: 20x + -20x = 0
X4 + 0 + -4x2 + -5x3 = 0 + -20x
X4 + -4x2 + -5x3 = 0 + -20x
Remove the zero:
X4 + -4x2 + -5x3 = -20x

Add '4x2' to each side of the equation.
X4 + -4x2 + 4x2 + -5x3 = -20x + 4x2

Combine like terms: -4x2 + 4x2 = 0
X4 + 0 + -5x3 = -20x + 4x2
X4 + -5x3 = -20x + 4x2

Add '5x3' to each side of the equation.
X4 + -5x3 + 5x3 = -20x + 4x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
X4 + 0 = -20x + 4x2 + 5x3
X4 = -20x + 4x2 + 5x3

Simplifying
X4 = -20x + 4x2 + 5x3

Reorder the terms:
X4 + 20x + -4x2 + -5x3 = -20x + 20x + 4x2 + -4x2 + 5x3 + -5x3

Combine like terms: -20x + 20x = 0
X4 + 20x + -4x2 + -5x3 = 0 + 4x2 + -4x2 + 5x3 + -5x3
X4 + 20x + -4x2 + -5x3 = 4x2 + -4x2 + 5x3 + -5x3

Combine like terms: 4x2 + -4x2 = 0
X4 + 20x + -4x2 + -5x3 = 0 + 5x3 + -5x3
X4 + 20x + -4x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
X4 + 20x + -4x2 + -5x3 = 0

The solution to this equation could not be determined.

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