X^4-16x^3+64x^2-108x+144=0

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Solution for X^4-16x^3+64x^2-108x+144=0 equation: 


Simplifying
X4 + -16x3 + 64x2 + -108x + 144 = 0

Reorder the terms:
144 + X4 + -108x + 64x2 + -16x3 = 0

Solving
144 + X4 + -108x + 64x2 + -16x3 = 0

Solving for variable 'X'.

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

Add '-144' to each side of the equation.
144 + X4 + -108x + 64x2 + -144 + -16x3 = 0 + -144

Reorder the terms:
144 + -144 + X4 + -108x + 64x2 + -16x3 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + X4 + -108x + 64x2 + -16x3 = 0 + -144
X4 + -108x + 64x2 + -16x3 = 0 + -144

Combine like terms: 0 + -144 = -144
X4 + -108x + 64x2 + -16x3 = -144

Add '108x' to each side of the equation.
X4 + -108x + 64x2 + 108x + -16x3 = -144 + 108x

Reorder the terms:
X4 + -108x + 108x + 64x2 + -16x3 = -144 + 108x

Combine like terms: -108x + 108x = 0
X4 + 0 + 64x2 + -16x3 = -144 + 108x
X4 + 64x2 + -16x3 = -144 + 108x

Add '-64x2' to each side of the equation.
X4 + 64x2 + -64x2 + -16x3 = -144 + 108x + -64x2

Combine like terms: 64x2 + -64x2 = 0
X4 + 0 + -16x3 = -144 + 108x + -64x2
X4 + -16x3 = -144 + 108x + -64x2

Add '16x3' to each side of the equation.
X4 + -16x3 + 16x3 = -144 + 108x + -64x2 + 16x3

Combine like terms: -16x3 + 16x3 = 0
X4 + 0 = -144 + 108x + -64x2 + 16x3
X4 = -144 + 108x + -64x2 + 16x3

Simplifying
X4 = -144 + 108x + -64x2 + 16x3

Reorder the terms:
144 + X4 + -108x + 64x2 + -16x3 = -144 + 108x + -64x2 + 16x3 + 144 + -108x + 64x2 + -16x3

Reorder the terms:
144 + X4 + -108x + 64x2 + -16x3 = -144 + 144 + 108x + -108x + -64x2 + 64x2 + 16x3 + -16x3

Combine like terms: -144 + 144 = 0
144 + X4 + -108x + 64x2 + -16x3 = 0 + 108x + -108x + -64x2 + 64x2 + 16x3 + -16x3
144 + X4 + -108x + 64x2 + -16x3 = 108x + -108x + -64x2 + 64x2 + 16x3 + -16x3

Combine like terms: 108x + -108x = 0
144 + X4 + -108x + 64x2 + -16x3 = 0 + -64x2 + 64x2 + 16x3 + -16x3
144 + X4 + -108x + 64x2 + -16x3 = -64x2 + 64x2 + 16x3 + -16x3

Combine like terms: -64x2 + 64x2 = 0
144 + X4 + -108x + 64x2 + -16x3 = 0 + 16x3 + -16x3
144 + X4 + -108x + 64x2 + -16x3 = 16x3 + -16x3

Combine like terms: 16x3 + -16x3 = 0
144 + X4 + -108x + 64x2 + -16x3 = 0

The solution to this equation could not be determined.

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