X^4+6x^3-x^2-24x+16=0

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Solution for X^4+6x^3-x^2-24x+16=0 equation: 


Simplifying
X4 + 6x3 + -1x2 + -24x + 16 = 0

Reorder the terms:
16 + X4 + -24x + -1x2 + 6x3 = 0

Solving
16 + X4 + -24x + -1x2 + 6x3 = 0

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + X4 + -24x + -1x2 + -16 + 6x3 = 0 + -16

Reorder the terms:
16 + -16 + X4 + -24x + -1x2 + 6x3 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + X4 + -24x + -1x2 + 6x3 = 0 + -16
X4 + -24x + -1x2 + 6x3 = 0 + -16

Combine like terms: 0 + -16 = -16
X4 + -24x + -1x2 + 6x3 = -16

Add '24x' to each side of the equation.
X4 + -24x + -1x2 + 24x + 6x3 = -16 + 24x

Reorder the terms:
X4 + -24x + 24x + -1x2 + 6x3 = -16 + 24x

Combine like terms: -24x + 24x = 0
X4 + 0 + -1x2 + 6x3 = -16 + 24x
X4 + -1x2 + 6x3 = -16 + 24x

Add 'x2' to each side of the equation.
X4 + -1x2 + x2 + 6x3 = -16 + 24x + x2

Combine like terms: -1x2 + x2 = 0
X4 + 0 + 6x3 = -16 + 24x + x2
X4 + 6x3 = -16 + 24x + x2

Add '-6x3' to each side of the equation.
X4 + 6x3 + -6x3 = -16 + 24x + x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
X4 + 0 = -16 + 24x + x2 + -6x3
X4 = -16 + 24x + x2 + -6x3

Simplifying
X4 = -16 + 24x + x2 + -6x3

Reorder the terms:
16 + X4 + -24x + -1x2 + 6x3 = -16 + 24x + x2 + -6x3 + 16 + -24x + -1x2 + 6x3

Reorder the terms:
16 + X4 + -24x + -1x2 + 6x3 = -16 + 16 + 24x + -24x + x2 + -1x2 + -6x3 + 6x3

Combine like terms: -16 + 16 = 0
16 + X4 + -24x + -1x2 + 6x3 = 0 + 24x + -24x + x2 + -1x2 + -6x3 + 6x3
16 + X4 + -24x + -1x2 + 6x3 = 24x + -24x + x2 + -1x2 + -6x3 + 6x3

Combine like terms: 24x + -24x = 0
16 + X4 + -24x + -1x2 + 6x3 = 0 + x2 + -1x2 + -6x3 + 6x3
16 + X4 + -24x + -1x2 + 6x3 = x2 + -1x2 + -6x3 + 6x3

Combine like terms: x2 + -1x2 = 0
16 + X4 + -24x + -1x2 + 6x3 = 0 + -6x3 + 6x3
16 + X4 + -24x + -1x2 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
16 + X4 + -24x + -1x2 + 6x3 = 0

The solution to this equation could not be determined.

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