X^4-6x^3+15x^2-22x+22=0

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Solution for X^4-6x^3+15x^2-22x+22=0 equation:


Simplifying
X4 + -6x3 + 15x2 + -22x + 22 = 0

Reorder the terms:
22 + X4 + -22x + 15x2 + -6x3 = 0

Solving
22 + X4 + -22x + 15x2 + -6x3 = 0

Solving for variable 'X'.

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

Add '-22' to each side of the equation.
22 + X4 + -22x + 15x2 + -22 + -6x3 = 0 + -22

Reorder the terms:
22 + -22 + X4 + -22x + 15x2 + -6x3 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + X4 + -22x + 15x2 + -6x3 = 0 + -22
X4 + -22x + 15x2 + -6x3 = 0 + -22

Combine like terms: 0 + -22 = -22
X4 + -22x + 15x2 + -6x3 = -22

Add '22x' to each side of the equation.
X4 + -22x + 15x2 + 22x + -6x3 = -22 + 22x

Reorder the terms:
X4 + -22x + 22x + 15x2 + -6x3 = -22 + 22x

Combine like terms: -22x + 22x = 0
X4 + 0 + 15x2 + -6x3 = -22 + 22x
X4 + 15x2 + -6x3 = -22 + 22x

Add '-15x2' to each side of the equation.
X4 + 15x2 + -15x2 + -6x3 = -22 + 22x + -15x2

Combine like terms: 15x2 + -15x2 = 0
X4 + 0 + -6x3 = -22 + 22x + -15x2
X4 + -6x3 = -22 + 22x + -15x2

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = -22 + 22x + -15x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = -22 + 22x + -15x2 + 6x3
X4 = -22 + 22x + -15x2 + 6x3

Simplifying
X4 = -22 + 22x + -15x2 + 6x3

Reorder the terms:
22 + X4 + -22x + 15x2 + -6x3 = -22 + 22x + -15x2 + 6x3 + 22 + -22x + 15x2 + -6x3

Reorder the terms:
22 + X4 + -22x + 15x2 + -6x3 = -22 + 22 + 22x + -22x + -15x2 + 15x2 + 6x3 + -6x3

Combine like terms: -22 + 22 = 0
22 + X4 + -22x + 15x2 + -6x3 = 0 + 22x + -22x + -15x2 + 15x2 + 6x3 + -6x3
22 + X4 + -22x + 15x2 + -6x3 = 22x + -22x + -15x2 + 15x2 + 6x3 + -6x3

Combine like terms: 22x + -22x = 0
22 + X4 + -22x + 15x2 + -6x3 = 0 + -15x2 + 15x2 + 6x3 + -6x3
22 + X4 + -22x + 15x2 + -6x3 = -15x2 + 15x2 + 6x3 + -6x3

Combine like terms: -15x2 + 15x2 = 0
22 + X4 + -22x + 15x2 + -6x3 = 0 + 6x3 + -6x3
22 + X4 + -22x + 15x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
22 + X4 + -22x + 15x2 + -6x3 = 0

The solution to this equation could not be determined.

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