X^6+x^5-x^4-x^3=0

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Solution for X^6+x^5-x^4-x^3=0 equation:


Simplifying
X6 + x5 + -1x4 + -1x3 = 0

Reorder the terms:
X6 + -1x3 + -1x4 + x5 = 0

Solving
X6 + -1x3 + -1x4 + x5 = 0

Solving for variable 'X'.

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

Add 'x3' to each side of the equation.
X6 + -1x3 + -1x4 + x3 + x5 = 0 + x3

Reorder the terms:
X6 + -1x3 + x3 + -1x4 + x5 = 0 + x3

Combine like terms: -1x3 + x3 = 0
X6 + 0 + -1x4 + x5 = 0 + x3
X6 + -1x4 + x5 = 0 + x3
Remove the zero:
X6 + -1x4 + x5 = x3

Add 'x4' to each side of the equation.
X6 + -1x4 + x4 + x5 = x3 + x4

Combine like terms: -1x4 + x4 = 0
X6 + 0 + x5 = x3 + x4
X6 + x5 = x3 + x4

Add '-1x5' to each side of the equation.
X6 + x5 + -1x5 = x3 + x4 + -1x5

Combine like terms: x5 + -1x5 = 0
X6 + 0 = x3 + x4 + -1x5
X6 = x3 + x4 + -1x5

Simplifying
X6 = x3 + x4 + -1x5

Reorder the terms:
X6 + -1x3 + -1x4 + x5 = x3 + -1x3 + x4 + -1x4 + -1x5 + x5

Combine like terms: x3 + -1x3 = 0
X6 + -1x3 + -1x4 + x5 = 0 + x4 + -1x4 + -1x5 + x5
X6 + -1x3 + -1x4 + x5 = x4 + -1x4 + -1x5 + x5

Combine like terms: x4 + -1x4 = 0
X6 + -1x3 + -1x4 + x5 = 0 + -1x5 + x5
X6 + -1x3 + -1x4 + x5 = -1x5 + x5

Combine like terms: -1x5 + x5 = 0
X6 + -1x3 + -1x4 + x5 = 0

The solution to this equation could not be determined.

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