X^4+6x^3-36x^2-216x=0

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Solution for X^4+6x^3-36x^2-216x=0 equation:


Simplifying
X4 + 6x3 + -36x2 + -216x = 0

Reorder the terms:
X4 + -216x + -36x2 + 6x3 = 0

Solving
X4 + -216x + -36x2 + 6x3 = 0

Solving for variable 'X'.

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

Add '216x' to each side of the equation.
X4 + -216x + -36x2 + 216x + 6x3 = 0 + 216x

Reorder the terms:
X4 + -216x + 216x + -36x2 + 6x3 = 0 + 216x

Combine like terms: -216x + 216x = 0
X4 + 0 + -36x2 + 6x3 = 0 + 216x
X4 + -36x2 + 6x3 = 0 + 216x
Remove the zero:
X4 + -36x2 + 6x3 = 216x

Add '36x2' to each side of the equation.
X4 + -36x2 + 36x2 + 6x3 = 216x + 36x2

Combine like terms: -36x2 + 36x2 = 0
X4 + 0 + 6x3 = 216x + 36x2
X4 + 6x3 = 216x + 36x2

Add '-6x3' to each side of the equation.
X4 + 6x3 + -6x3 = 216x + 36x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
X4 + 0 = 216x + 36x2 + -6x3
X4 = 216x + 36x2 + -6x3

Simplifying
X4 = 216x + 36x2 + -6x3

Reorder the terms:
X4 + -216x + -36x2 + 6x3 = 216x + -216x + 36x2 + -36x2 + -6x3 + 6x3

Combine like terms: 216x + -216x = 0
X4 + -216x + -36x2 + 6x3 = 0 + 36x2 + -36x2 + -6x3 + 6x3
X4 + -216x + -36x2 + 6x3 = 36x2 + -36x2 + -6x3 + 6x3

Combine like terms: 36x2 + -36x2 = 0
X4 + -216x + -36x2 + 6x3 = 0 + -6x3 + 6x3
X4 + -216x + -36x2 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + -216x + -36x2 + 6x3 = 0

The solution to this equation could not be determined.

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