X^5-3x^4-6x^3+28x^2-24x=0

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Solution for X^5-3x^4-6x^3+28x^2-24x=0 equation: 


Simplifying
X5 + -3x4 + -6x3 + 28x2 + -24x = 0

Reorder the terms:
X5 + -24x + 28x2 + -6x3 + -3x4 = 0

Solving
X5 + -24x + 28x2 + -6x3 + -3x4 = 0

Solving for variable 'X'.

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

Add '24x' to each side of the equation.
X5 + -24x + 28x2 + -6x3 + 24x + -3x4 = 0 + 24x

Reorder the terms:
X5 + -24x + 24x + 28x2 + -6x3 + -3x4 = 0 + 24x

Combine like terms: -24x + 24x = 0
X5 + 0 + 28x2 + -6x3 + -3x4 = 0 + 24x
X5 + 28x2 + -6x3 + -3x4 = 0 + 24x
Remove the zero:
X5 + 28x2 + -6x3 + -3x4 = 24x

Add '-28x2' to each side of the equation.
X5 + 28x2 + -6x3 + -28x2 + -3x4 = 24x + -28x2

Reorder the terms:
X5 + 28x2 + -28x2 + -6x3 + -3x4 = 24x + -28x2

Combine like terms: 28x2 + -28x2 = 0
X5 + 0 + -6x3 + -3x4 = 24x + -28x2
X5 + -6x3 + -3x4 = 24x + -28x2

Add '6x3' to each side of the equation.
X5 + -6x3 + 6x3 + -3x4 = 24x + -28x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X5 + 0 + -3x4 = 24x + -28x2 + 6x3
X5 + -3x4 = 24x + -28x2 + 6x3

Add '3x4' to each side of the equation.
X5 + -3x4 + 3x4 = 24x + -28x2 + 6x3 + 3x4

Combine like terms: -3x4 + 3x4 = 0
X5 + 0 = 24x + -28x2 + 6x3 + 3x4
X5 = 24x + -28x2 + 6x3 + 3x4

Simplifying
X5 = 24x + -28x2 + 6x3 + 3x4

Reorder the terms:
X5 + -24x + 28x2 + -6x3 + -3x4 = 24x + -24x + -28x2 + 28x2 + 6x3 + -6x3 + 3x4 + -3x4

Combine like terms: 24x + -24x = 0
X5 + -24x + 28x2 + -6x3 + -3x4 = 0 + -28x2 + 28x2 + 6x3 + -6x3 + 3x4 + -3x4
X5 + -24x + 28x2 + -6x3 + -3x4 = -28x2 + 28x2 + 6x3 + -6x3 + 3x4 + -3x4

Combine like terms: -28x2 + 28x2 = 0
X5 + -24x + 28x2 + -6x3 + -3x4 = 0 + 6x3 + -6x3 + 3x4 + -3x4
X5 + -24x + 28x2 + -6x3 + -3x4 = 6x3 + -6x3 + 3x4 + -3x4

Combine like terms: 6x3 + -6x3 = 0
X5 + -24x + 28x2 + -6x3 + -3x4 = 0 + 3x4 + -3x4
X5 + -24x + 28x2 + -6x3 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
X5 + -24x + 28x2 + -6x3 + -3x4 = 0

The solution to this equation could not be determined.

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