X^4-6x^3+12x^2-70x+75=0

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Solution for X^4-6x^3+12x^2-70x+75=0 equation: 


Simplifying
X4 + -6x3 + 12x2 + -70x + 75 = 0

Reorder the terms:
75 + X4 + -70x + 12x2 + -6x3 = 0

Solving
75 + X4 + -70x + 12x2 + -6x3 = 0

Solving for variable 'X'.

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

Add '-75' to each side of the equation.
75 + X4 + -70x + 12x2 + -75 + -6x3 = 0 + -75

Reorder the terms:
75 + -75 + X4 + -70x + 12x2 + -6x3 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + X4 + -70x + 12x2 + -6x3 = 0 + -75
X4 + -70x + 12x2 + -6x3 = 0 + -75

Combine like terms: 0 + -75 = -75
X4 + -70x + 12x2 + -6x3 = -75

Add '70x' to each side of the equation.
X4 + -70x + 12x2 + 70x + -6x3 = -75 + 70x

Reorder the terms:
X4 + -70x + 70x + 12x2 + -6x3 = -75 + 70x

Combine like terms: -70x + 70x = 0
X4 + 0 + 12x2 + -6x3 = -75 + 70x
X4 + 12x2 + -6x3 = -75 + 70x

Add '-12x2' to each side of the equation.
X4 + 12x2 + -12x2 + -6x3 = -75 + 70x + -12x2

Combine like terms: 12x2 + -12x2 = 0
X4 + 0 + -6x3 = -75 + 70x + -12x2
X4 + -6x3 = -75 + 70x + -12x2

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = -75 + 70x + -12x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = -75 + 70x + -12x2 + 6x3
X4 = -75 + 70x + -12x2 + 6x3

Simplifying
X4 = -75 + 70x + -12x2 + 6x3

Reorder the terms:
75 + X4 + -70x + 12x2 + -6x3 = -75 + 70x + -12x2 + 6x3 + 75 + -70x + 12x2 + -6x3

Reorder the terms:
75 + X4 + -70x + 12x2 + -6x3 = -75 + 75 + 70x + -70x + -12x2 + 12x2 + 6x3 + -6x3

Combine like terms: -75 + 75 = 0
75 + X4 + -70x + 12x2 + -6x3 = 0 + 70x + -70x + -12x2 + 12x2 + 6x3 + -6x3
75 + X4 + -70x + 12x2 + -6x3 = 70x + -70x + -12x2 + 12x2 + 6x3 + -6x3

Combine like terms: 70x + -70x = 0
75 + X4 + -70x + 12x2 + -6x3 = 0 + -12x2 + 12x2 + 6x3 + -6x3
75 + X4 + -70x + 12x2 + -6x3 = -12x2 + 12x2 + 6x3 + -6x3

Combine like terms: -12x2 + 12x2 = 0
75 + X4 + -70x + 12x2 + -6x3 = 0 + 6x3 + -6x3
75 + X4 + -70x + 12x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
75 + X4 + -70x + 12x2 + -6x3 = 0

The solution to this equation could not be determined.

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