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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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