X^5+2x^4+x^3+2x^2-12x-24=0

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Solution for X^5+2x^4+x^3+2x^2-12x-24=0 equation: 


Simplifying
X5 + 2x4 + x3 + 2x2 + -12x + -24 = 0

Reorder the terms:
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 0

Solving
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 0

Solving for variable 'X'.

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

Add '24' to each side of the equation.
-24 + X5 + -12x + 2x2 + x3 + 24 + 2x4 = 0 + 24

Reorder the terms:
-24 + 24 + X5 + -12x + 2x2 + x3 + 2x4 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + X5 + -12x + 2x2 + x3 + 2x4 = 0 + 24
X5 + -12x + 2x2 + x3 + 2x4 = 0 + 24

Combine like terms: 0 + 24 = 24
X5 + -12x + 2x2 + x3 + 2x4 = 24

Add '12x' to each side of the equation.
X5 + -12x + 2x2 + x3 + 12x + 2x4 = 24 + 12x

Reorder the terms:
X5 + -12x + 12x + 2x2 + x3 + 2x4 = 24 + 12x

Combine like terms: -12x + 12x = 0
X5 + 0 + 2x2 + x3 + 2x4 = 24 + 12x
X5 + 2x2 + x3 + 2x4 = 24 + 12x

Add '-2x2' to each side of the equation.
X5 + 2x2 + x3 + -2x2 + 2x4 = 24 + 12x + -2x2

Reorder the terms:
X5 + 2x2 + -2x2 + x3 + 2x4 = 24 + 12x + -2x2

Combine like terms: 2x2 + -2x2 = 0
X5 + 0 + x3 + 2x4 = 24 + 12x + -2x2
X5 + x3 + 2x4 = 24 + 12x + -2x2

Add '-1x3' to each side of the equation.
X5 + x3 + -1x3 + 2x4 = 24 + 12x + -2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X5 + 0 + 2x4 = 24 + 12x + -2x2 + -1x3
X5 + 2x4 = 24 + 12x + -2x2 + -1x3

Add '-2x4' to each side of the equation.
X5 + 2x4 + -2x4 = 24 + 12x + -2x2 + -1x3 + -2x4

Combine like terms: 2x4 + -2x4 = 0
X5 + 0 = 24 + 12x + -2x2 + -1x3 + -2x4
X5 = 24 + 12x + -2x2 + -1x3 + -2x4

Simplifying
X5 = 24 + 12x + -2x2 + -1x3 + -2x4

Reorder the terms:
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 24 + 12x + -2x2 + -1x3 + -2x4 + -24 + -12x + 2x2 + x3 + 2x4

Reorder the terms:
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 24 + -24 + 12x + -12x + -2x2 + 2x2 + -1x3 + x3 + -2x4 + 2x4

Combine like terms: 24 + -24 = 0
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 0 + 12x + -12x + -2x2 + 2x2 + -1x3 + x3 + -2x4 + 2x4
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 12x + -12x + -2x2 + 2x2 + -1x3 + x3 + -2x4 + 2x4

Combine like terms: 12x + -12x = 0
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 0 + -2x2 + 2x2 + -1x3 + x3 + -2x4 + 2x4
-24 + X5 + -12x + 2x2 + x3 + 2x4 = -2x2 + 2x2 + -1x3 + x3 + -2x4 + 2x4

Combine like terms: -2x2 + 2x2 = 0
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 0 + -1x3 + x3 + -2x4 + 2x4
-24 + X5 + -12x + 2x2 + x3 + 2x4 = -1x3 + x3 + -2x4 + 2x4

Combine like terms: -1x3 + x3 = 0
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 0 + -2x4 + 2x4
-24 + X5 + -12x + 2x2 + x3 + 2x4 = -2x4 + 2x4

Combine like terms: -2x4 + 2x4 = 0
-24 + X5 + -12x + 2x2 + x3 + 2x4 = 0

The solution to this equation could not be determined.

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