X^5-12x^4-40x^3+120x^2=0

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Solution for X^5-12x^4-40x^3+120x^2=0 equation: 


Simplifying
X5 + -12x4 + -40x3 + 120x2 = 0

Reorder the terms:
X5 + 120x2 + -40x3 + -12x4 = 0

Solving
X5 + 120x2 + -40x3 + -12x4 = 0

Solving for variable 'X'.

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

Add '-120x2' to each side of the equation.
X5 + 120x2 + -40x3 + -120x2 + -12x4 = 0 + -120x2

Reorder the terms:
X5 + 120x2 + -120x2 + -40x3 + -12x4 = 0 + -120x2

Combine like terms: 120x2 + -120x2 = 0
X5 + 0 + -40x3 + -12x4 = 0 + -120x2
X5 + -40x3 + -12x4 = 0 + -120x2
Remove the zero:
X5 + -40x3 + -12x4 = -120x2

Add '40x3' to each side of the equation.
X5 + -40x3 + 40x3 + -12x4 = -120x2 + 40x3

Combine like terms: -40x3 + 40x3 = 0
X5 + 0 + -12x4 = -120x2 + 40x3
X5 + -12x4 = -120x2 + 40x3

Add '12x4' to each side of the equation.
X5 + -12x4 + 12x4 = -120x2 + 40x3 + 12x4

Combine like terms: -12x4 + 12x4 = 0
X5 + 0 = -120x2 + 40x3 + 12x4
X5 = -120x2 + 40x3 + 12x4

Simplifying
X5 = -120x2 + 40x3 + 12x4

Reorder the terms:
X5 + 120x2 + -40x3 + -12x4 = -120x2 + 120x2 + 40x3 + -40x3 + 12x4 + -12x4

Combine like terms: -120x2 + 120x2 = 0
X5 + 120x2 + -40x3 + -12x4 = 0 + 40x3 + -40x3 + 12x4 + -12x4
X5 + 120x2 + -40x3 + -12x4 = 40x3 + -40x3 + 12x4 + -12x4

Combine like terms: 40x3 + -40x3 = 0
X5 + 120x2 + -40x3 + -12x4 = 0 + 12x4 + -12x4
X5 + 120x2 + -40x3 + -12x4 = 12x4 + -12x4

Combine like terms: 12x4 + -12x4 = 0
X5 + 120x2 + -40x3 + -12x4 = 0

The solution to this equation could not be determined.

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