X^4-6x^3+11x^2-6x=1680

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Solution for X^4-6x^3+11x^2-6x=1680 equation: 


Simplifying
X4 + -6x3 + 11x2 + -6x = 1680

Reorder the terms:
X4 + -6x + 11x2 + -6x3 = 1680

Solving
X4 + -6x + 11x2 + -6x3 = 1680

Solving for variable 'X'.

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

Add '6x' to each side of the equation.
X4 + -6x + 11x2 + 6x + -6x3 = 1680 + 6x

Reorder the terms:
X4 + -6x + 6x + 11x2 + -6x3 = 1680 + 6x

Combine like terms: -6x + 6x = 0
X4 + 0 + 11x2 + -6x3 = 1680 + 6x
X4 + 11x2 + -6x3 = 1680 + 6x

Add '-11x2' to each side of the equation.
X4 + 11x2 + -11x2 + -6x3 = 1680 + 6x + -11x2

Combine like terms: 11x2 + -11x2 = 0
X4 + 0 + -6x3 = 1680 + 6x + -11x2
X4 + -6x3 = 1680 + 6x + -11x2

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = 1680 + 6x + -11x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = 1680 + 6x + -11x2 + 6x3
X4 = 1680 + 6x + -11x2 + 6x3

Simplifying
X4 = 1680 + 6x + -11x2 + 6x3

Reorder the terms:
-1680 + X4 + -6x + 11x2 + -6x3 = 1680 + 6x + -11x2 + 6x3 + -1680 + -6x + 11x2 + -6x3

Reorder the terms:
-1680 + X4 + -6x + 11x2 + -6x3 = 1680 + -1680 + 6x + -6x + -11x2 + 11x2 + 6x3 + -6x3

Combine like terms: 1680 + -1680 = 0
-1680 + X4 + -6x + 11x2 + -6x3 = 0 + 6x + -6x + -11x2 + 11x2 + 6x3 + -6x3
-1680 + X4 + -6x + 11x2 + -6x3 = 6x + -6x + -11x2 + 11x2 + 6x3 + -6x3

Combine like terms: 6x + -6x = 0
-1680 + X4 + -6x + 11x2 + -6x3 = 0 + -11x2 + 11x2 + 6x3 + -6x3
-1680 + X4 + -6x + 11x2 + -6x3 = -11x2 + 11x2 + 6x3 + -6x3

Combine like terms: -11x2 + 11x2 = 0
-1680 + X4 + -6x + 11x2 + -6x3 = 0 + 6x3 + -6x3
-1680 + X4 + -6x + 11x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-1680 + X4 + -6x + 11x2 + -6x3 = 0

The solution to this equation could not be determined.

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