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

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


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

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

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

Solving for variable 'X'.

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

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

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

Combine like terms: 8x + -8x = 0
X4 + 0 + -8x2 + -1x3 = 0 + -8x
X4 + -8x2 + -1x3 = 0 + -8x
Remove the zero:
X4 + -8x2 + -1x3 = -8x

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

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

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

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

Simplifying
X4 = -8x + 8x2 + x3

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

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

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

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

The solution to this equation could not be determined.

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