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

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


Simplifying
X4 + 6x3 + -5x2 + -24x + 4 = 0

Reorder the terms:
4 + X4 + -24x + -5x2 + 6x3 = 0

Solving
4 + X4 + -24x + -5x2 + 6x3 = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X4 + -24x + -5x2 + -4 + 6x3 = 0 + -4

Reorder the terms:
4 + -4 + X4 + -24x + -5x2 + 6x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X4 + -24x + -5x2 + 6x3 = 0 + -4
X4 + -24x + -5x2 + 6x3 = 0 + -4

Combine like terms: 0 + -4 = -4
X4 + -24x + -5x2 + 6x3 = -4

Add '24x' to each side of the equation.
X4 + -24x + -5x2 + 24x + 6x3 = -4 + 24x

Reorder the terms:
X4 + -24x + 24x + -5x2 + 6x3 = -4 + 24x

Combine like terms: -24x + 24x = 0
X4 + 0 + -5x2 + 6x3 = -4 + 24x
X4 + -5x2 + 6x3 = -4 + 24x

Add '5x2' to each side of the equation.
X4 + -5x2 + 5x2 + 6x3 = -4 + 24x + 5x2

Combine like terms: -5x2 + 5x2 = 0
X4 + 0 + 6x3 = -4 + 24x + 5x2
X4 + 6x3 = -4 + 24x + 5x2

Add '-6x3' to each side of the equation.
X4 + 6x3 + -6x3 = -4 + 24x + 5x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
X4 + 0 = -4 + 24x + 5x2 + -6x3
X4 = -4 + 24x + 5x2 + -6x3

Simplifying
X4 = -4 + 24x + 5x2 + -6x3

Reorder the terms:
4 + X4 + -24x + -5x2 + 6x3 = -4 + 24x + 5x2 + -6x3 + 4 + -24x + -5x2 + 6x3

Reorder the terms:
4 + X4 + -24x + -5x2 + 6x3 = -4 + 4 + 24x + -24x + 5x2 + -5x2 + -6x3 + 6x3

Combine like terms: -4 + 4 = 0
4 + X4 + -24x + -5x2 + 6x3 = 0 + 24x + -24x + 5x2 + -5x2 + -6x3 + 6x3
4 + X4 + -24x + -5x2 + 6x3 = 24x + -24x + 5x2 + -5x2 + -6x3 + 6x3

Combine like terms: 24x + -24x = 0
4 + X4 + -24x + -5x2 + 6x3 = 0 + 5x2 + -5x2 + -6x3 + 6x3
4 + X4 + -24x + -5x2 + 6x3 = 5x2 + -5x2 + -6x3 + 6x3

Combine like terms: 5x2 + -5x2 = 0
4 + X4 + -24x + -5x2 + 6x3 = 0 + -6x3 + 6x3
4 + X4 + -24x + -5x2 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
4 + X4 + -24x + -5x2 + 6x3 = 0

The solution to this equation could not be determined.

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