x^4+6x^3-x^2-6X=0

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Solution for x^4+6x^3-x^2-6X=0 equation: 


Simplifying
x4 + 6x3 + -1x2 + -6X = 0

Reorder the terms:
-6X + -1x2 + 6x3 + x4 = 0

Solving
-6X + -1x2 + 6x3 + x4 = 0

Solving for variable 'X'.

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

Add 'x2' to each side of the equation.
-6X + -1x2 + 6x3 + x2 + x4 = 0 + x2

Reorder the terms:
-6X + -1x2 + x2 + 6x3 + x4 = 0 + x2

Combine like terms: -1x2 + x2 = 0
-6X + 0 + 6x3 + x4 = 0 + x2
-6X + 6x3 + x4 = 0 + x2
Remove the zero:
-6X + 6x3 + x4 = x2

Add '-6x3' to each side of the equation.
-6X + 6x3 + -6x3 + x4 = x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-6X + 0 + x4 = x2 + -6x3
-6X + x4 = x2 + -6x3

Add '-1x4' to each side of the equation.
-6X + x4 + -1x4 = x2 + -6x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-6X + 0 = x2 + -6x3 + -1x4
-6X = x2 + -6x3 + -1x4

Divide each side by '-6'.
X = -0.1666666667x2 + x3 + 0.1666666667x4

Simplifying
X = -0.1666666667x2 + x3 + 0.1666666667x4

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