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

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


Simplifying
X4 + 4x3 + -2x2 + -8 = 0

Reorder the terms:
-8 + X4 + -2x2 + 4x3 = 0

Solving
-8 + X4 + -2x2 + 4x3 = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + X4 + -2x2 + 8 + 4x3 = 0 + 8

Reorder the terms:
-8 + 8 + X4 + -2x2 + 4x3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X4 + -2x2 + 4x3 = 0 + 8
X4 + -2x2 + 4x3 = 0 + 8

Combine like terms: 0 + 8 = 8
X4 + -2x2 + 4x3 = 8

Add '2x2' to each side of the equation.
X4 + -2x2 + 2x2 + 4x3 = 8 + 2x2

Combine like terms: -2x2 + 2x2 = 0
X4 + 0 + 4x3 = 8 + 2x2
X4 + 4x3 = 8 + 2x2

Add '-4x3' to each side of the equation.
X4 + 4x3 + -4x3 = 8 + 2x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
X4 + 0 = 8 + 2x2 + -4x3
X4 = 8 + 2x2 + -4x3

Simplifying
X4 = 8 + 2x2 + -4x3

Reorder the terms:
-8 + X4 + -2x2 + 4x3 = 8 + 2x2 + -4x3 + -8 + -2x2 + 4x3

Reorder the terms:
-8 + X4 + -2x2 + 4x3 = 8 + -8 + 2x2 + -2x2 + -4x3 + 4x3

Combine like terms: 8 + -8 = 0
-8 + X4 + -2x2 + 4x3 = 0 + 2x2 + -2x2 + -4x3 + 4x3
-8 + X4 + -2x2 + 4x3 = 2x2 + -2x2 + -4x3 + 4x3

Combine like terms: 2x2 + -2x2 = 0
-8 + X4 + -2x2 + 4x3 = 0 + -4x3 + 4x3
-8 + X4 + -2x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-8 + X4 + -2x2 + 4x3 = 0

The solution to this equation could not be determined.

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