X^4+6x^3+17x^2=5x^2-x^3

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Solution for X^4+6x^3+17x^2=5x^2-x^3 equation: 


Simplifying
X4 + 6x3 + 17x2 = 5x2 + -1x3

Reorder the terms:
X4 + 17x2 + 6x3 = 5x2 + -1x3

Solving
X4 + 17x2 + 6x3 = 5x2 + -1x3

Solving for variable 'X'.

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

Add '-17x2' to each side of the equation.
X4 + 17x2 + -17x2 + 6x3 = 5x2 + -17x2 + -1x3

Combine like terms: 17x2 + -17x2 = 0
X4 + 0 + 6x3 = 5x2 + -17x2 + -1x3
X4 + 6x3 = 5x2 + -17x2 + -1x3

Combine like terms: 5x2 + -17x2 = -12x2
X4 + 6x3 = -12x2 + -1x3

Add '-6x3' to each side of the equation.
X4 + 6x3 + -6x3 = -12x2 + -1x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
X4 + 0 = -12x2 + -1x3 + -6x3
X4 = -12x2 + -1x3 + -6x3

Combine like terms: -1x3 + -6x3 = -7x3
X4 = -12x2 + -7x3

Simplifying
X4 = -12x2 + -7x3

Reorder the terms:
X4 + 12x2 + 7x3 = -12x2 + 12x2 + -7x3 + 7x3

Combine like terms: -12x2 + 12x2 = 0
X4 + 12x2 + 7x3 = 0 + -7x3 + 7x3
X4 + 12x2 + 7x3 = -7x3 + 7x3

Combine like terms: -7x3 + 7x3 = 0
X4 + 12x2 + 7x3 = 0

The solution to this equation could not be determined.

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