X^4+6x^3-9x^2-54x=0

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Solution for X^4+6x^3-9x^2-54x=0 equation:


Simplifying
X4 + 6x3 + -9x2 + -54x = 0

Reorder the terms:
X4 + -54x + -9x2 + 6x3 = 0

Solving
X4 + -54x + -9x2 + 6x3 = 0

Solving for variable 'X'.

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

Add '54x' to each side of the equation.
X4 + -54x + -9x2 + 54x + 6x3 = 0 + 54x

Reorder the terms:
X4 + -54x + 54x + -9x2 + 6x3 = 0 + 54x

Combine like terms: -54x + 54x = 0
X4 + 0 + -9x2 + 6x3 = 0 + 54x
X4 + -9x2 + 6x3 = 0 + 54x
Remove the zero:
X4 + -9x2 + 6x3 = 54x

Add '9x2' to each side of the equation.
X4 + -9x2 + 9x2 + 6x3 = 54x + 9x2

Combine like terms: -9x2 + 9x2 = 0
X4 + 0 + 6x3 = 54x + 9x2
X4 + 6x3 = 54x + 9x2

Add '-6x3' to each side of the equation.
X4 + 6x3 + -6x3 = 54x + 9x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
X4 + 0 = 54x + 9x2 + -6x3
X4 = 54x + 9x2 + -6x3

Simplifying
X4 = 54x + 9x2 + -6x3

Reorder the terms:
X4 + -54x + -9x2 + 6x3 = 54x + -54x + 9x2 + -9x2 + -6x3 + 6x3

Combine like terms: 54x + -54x = 0
X4 + -54x + -9x2 + 6x3 = 0 + 9x2 + -9x2 + -6x3 + 6x3
X4 + -54x + -9x2 + 6x3 = 9x2 + -9x2 + -6x3 + 6x3

Combine like terms: 9x2 + -9x2 = 0
X4 + -54x + -9x2 + 6x3 = 0 + -6x3 + 6x3
X4 + -54x + -9x2 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + -54x + -9x2 + 6x3 = 0

The solution to this equation could not be determined.

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