X^4-x^3+2x^2-8x-48=0

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Solution for X^4-x^3+2x^2-8x-48=0 equation:


Simplifying
X4 + -1x3 + 2x2 + -8x + -48 = 0

Reorder the terms:
-48 + X4 + -8x + 2x2 + -1x3 = 0

Solving
-48 + X4 + -8x + 2x2 + -1x3 = 0

Solving for variable 'X'.

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

Add '48' to each side of the equation.
-48 + X4 + -8x + 2x2 + 48 + -1x3 = 0 + 48

Reorder the terms:
-48 + 48 + X4 + -8x + 2x2 + -1x3 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + X4 + -8x + 2x2 + -1x3 = 0 + 48
X4 + -8x + 2x2 + -1x3 = 0 + 48

Combine like terms: 0 + 48 = 48
X4 + -8x + 2x2 + -1x3 = 48

Add '8x' to each side of the equation.
X4 + -8x + 2x2 + 8x + -1x3 = 48 + 8x

Reorder the terms:
X4 + -8x + 8x + 2x2 + -1x3 = 48 + 8x

Combine like terms: -8x + 8x = 0
X4 + 0 + 2x2 + -1x3 = 48 + 8x
X4 + 2x2 + -1x3 = 48 + 8x

Add '-2x2' to each side of the equation.
X4 + 2x2 + -2x2 + -1x3 = 48 + 8x + -2x2

Combine like terms: 2x2 + -2x2 = 0
X4 + 0 + -1x3 = 48 + 8x + -2x2
X4 + -1x3 = 48 + 8x + -2x2

Add 'x3' to each side of the equation.
X4 + -1x3 + x3 = 48 + 8x + -2x2 + x3

Combine like terms: -1x3 + x3 = 0
X4 + 0 = 48 + 8x + -2x2 + x3
X4 = 48 + 8x + -2x2 + x3

Simplifying
X4 = 48 + 8x + -2x2 + x3

Reorder the terms:
-48 + X4 + -8x + 2x2 + -1x3 = 48 + 8x + -2x2 + x3 + -48 + -8x + 2x2 + -1x3

Reorder the terms:
-48 + X4 + -8x + 2x2 + -1x3 = 48 + -48 + 8x + -8x + -2x2 + 2x2 + x3 + -1x3

Combine like terms: 48 + -48 = 0
-48 + X4 + -8x + 2x2 + -1x3 = 0 + 8x + -8x + -2x2 + 2x2 + x3 + -1x3
-48 + X4 + -8x + 2x2 + -1x3 = 8x + -8x + -2x2 + 2x2 + x3 + -1x3

Combine like terms: 8x + -8x = 0
-48 + X4 + -8x + 2x2 + -1x3 = 0 + -2x2 + 2x2 + x3 + -1x3
-48 + X4 + -8x + 2x2 + -1x3 = -2x2 + 2x2 + x3 + -1x3

Combine like terms: -2x2 + 2x2 = 0
-48 + X4 + -8x + 2x2 + -1x3 = 0 + x3 + -1x3
-48 + X4 + -8x + 2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-48 + X4 + -8x + 2x2 + -1x3 = 0

The solution to this equation could not be determined.

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