X^5+6x^4+4x^3-24x^2-16x+32=0

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Solution for X^5+6x^4+4x^3-24x^2-16x+32=0 equation: 


Simplifying
X5 + 6x4 + 4x3 + -24x2 + -16x + 32 = 0

Reorder the terms:
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0

Solving
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0

Solving for variable 'X'.

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

Add '-32' to each side of the equation.
32 + X5 + -16x + -24x2 + 4x3 + -32 + 6x4 = 0 + -32

Reorder the terms:
32 + -32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0 + -32
X5 + -16x + -24x2 + 4x3 + 6x4 = 0 + -32

Combine like terms: 0 + -32 = -32
X5 + -16x + -24x2 + 4x3 + 6x4 = -32

Add '16x' to each side of the equation.
X5 + -16x + -24x2 + 4x3 + 16x + 6x4 = -32 + 16x

Reorder the terms:
X5 + -16x + 16x + -24x2 + 4x3 + 6x4 = -32 + 16x

Combine like terms: -16x + 16x = 0
X5 + 0 + -24x2 + 4x3 + 6x4 = -32 + 16x
X5 + -24x2 + 4x3 + 6x4 = -32 + 16x

Add '24x2' to each side of the equation.
X5 + -24x2 + 4x3 + 24x2 + 6x4 = -32 + 16x + 24x2

Reorder the terms:
X5 + -24x2 + 24x2 + 4x3 + 6x4 = -32 + 16x + 24x2

Combine like terms: -24x2 + 24x2 = 0
X5 + 0 + 4x3 + 6x4 = -32 + 16x + 24x2
X5 + 4x3 + 6x4 = -32 + 16x + 24x2

Add '-4x3' to each side of the equation.
X5 + 4x3 + -4x3 + 6x4 = -32 + 16x + 24x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
X5 + 0 + 6x4 = -32 + 16x + 24x2 + -4x3
X5 + 6x4 = -32 + 16x + 24x2 + -4x3

Add '-6x4' to each side of the equation.
X5 + 6x4 + -6x4 = -32 + 16x + 24x2 + -4x3 + -6x4

Combine like terms: 6x4 + -6x4 = 0
X5 + 0 = -32 + 16x + 24x2 + -4x3 + -6x4
X5 = -32 + 16x + 24x2 + -4x3 + -6x4

Simplifying
X5 = -32 + 16x + 24x2 + -4x3 + -6x4

Reorder the terms:
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = -32 + 16x + 24x2 + -4x3 + -6x4 + 32 + -16x + -24x2 + 4x3 + 6x4

Reorder the terms:
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = -32 + 32 + 16x + -16x + 24x2 + -24x2 + -4x3 + 4x3 + -6x4 + 6x4

Combine like terms: -32 + 32 = 0
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0 + 16x + -16x + 24x2 + -24x2 + -4x3 + 4x3 + -6x4 + 6x4
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 16x + -16x + 24x2 + -24x2 + -4x3 + 4x3 + -6x4 + 6x4

Combine like terms: 16x + -16x = 0
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0 + 24x2 + -24x2 + -4x3 + 4x3 + -6x4 + 6x4
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 24x2 + -24x2 + -4x3 + 4x3 + -6x4 + 6x4

Combine like terms: 24x2 + -24x2 = 0
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0 + -4x3 + 4x3 + -6x4 + 6x4
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = -4x3 + 4x3 + -6x4 + 6x4

Combine like terms: -4x3 + 4x3 = 0
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0 + -6x4 + 6x4
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = -6x4 + 6x4

Combine like terms: -6x4 + 6x4 = 0
32 + X5 + -16x + -24x2 + 4x3 + 6x4 = 0

The solution to this equation could not be determined.

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