X^4-4x^3-8x^2+24x+27=0

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Solution for X^4-4x^3-8x^2+24x+27=0 equation:


Simplifying
X4 + -4x3 + -8x2 + 24x + 27 = 0

Reorder the terms:
27 + X4 + 24x + -8x2 + -4x3 = 0

Solving
27 + X4 + 24x + -8x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '-27' to each side of the equation.
27 + X4 + 24x + -8x2 + -27 + -4x3 = 0 + -27

Reorder the terms:
27 + -27 + X4 + 24x + -8x2 + -4x3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + X4 + 24x + -8x2 + -4x3 = 0 + -27
X4 + 24x + -8x2 + -4x3 = 0 + -27

Combine like terms: 0 + -27 = -27
X4 + 24x + -8x2 + -4x3 = -27

Add '-24x' to each side of the equation.
X4 + 24x + -8x2 + -24x + -4x3 = -27 + -24x

Reorder the terms:
X4 + 24x + -24x + -8x2 + -4x3 = -27 + -24x

Combine like terms: 24x + -24x = 0
X4 + 0 + -8x2 + -4x3 = -27 + -24x
X4 + -8x2 + -4x3 = -27 + -24x

Add '8x2' to each side of the equation.
X4 + -8x2 + 8x2 + -4x3 = -27 + -24x + 8x2

Combine like terms: -8x2 + 8x2 = 0
X4 + 0 + -4x3 = -27 + -24x + 8x2
X4 + -4x3 = -27 + -24x + 8x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = -27 + -24x + 8x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = -27 + -24x + 8x2 + 4x3
X4 = -27 + -24x + 8x2 + 4x3

Simplifying
X4 = -27 + -24x + 8x2 + 4x3

Reorder the terms:
27 + X4 + 24x + -8x2 + -4x3 = -27 + -24x + 8x2 + 4x3 + 27 + 24x + -8x2 + -4x3

Reorder the terms:
27 + X4 + 24x + -8x2 + -4x3 = -27 + 27 + -24x + 24x + 8x2 + -8x2 + 4x3 + -4x3

Combine like terms: -27 + 27 = 0
27 + X4 + 24x + -8x2 + -4x3 = 0 + -24x + 24x + 8x2 + -8x2 + 4x3 + -4x3
27 + X4 + 24x + -8x2 + -4x3 = -24x + 24x + 8x2 + -8x2 + 4x3 + -4x3

Combine like terms: -24x + 24x = 0
27 + X4 + 24x + -8x2 + -4x3 = 0 + 8x2 + -8x2 + 4x3 + -4x3
27 + X4 + 24x + -8x2 + -4x3 = 8x2 + -8x2 + 4x3 + -4x3

Combine like terms: 8x2 + -8x2 = 0
27 + X4 + 24x + -8x2 + -4x3 = 0 + 4x3 + -4x3
27 + X4 + 24x + -8x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
27 + X4 + 24x + -8x2 + -4x3 = 0

The solution to this equation could not be determined.

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