X^4+8x^3+7x^2-22x+6=0

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Solution for X^4+8x^3+7x^2-22x+6=0 equation:


Simplifying
X4 + 8x3 + 7x2 + -22x + 6 = 0

Reorder the terms:
6 + X4 + -22x + 7x2 + 8x3 = 0

Solving
6 + X4 + -22x + 7x2 + 8x3 = 0

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + X4 + -22x + 7x2 + -6 + 8x3 = 0 + -6

Reorder the terms:
6 + -6 + X4 + -22x + 7x2 + 8x3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + X4 + -22x + 7x2 + 8x3 = 0 + -6
X4 + -22x + 7x2 + 8x3 = 0 + -6

Combine like terms: 0 + -6 = -6
X4 + -22x + 7x2 + 8x3 = -6

Add '22x' to each side of the equation.
X4 + -22x + 7x2 + 22x + 8x3 = -6 + 22x

Reorder the terms:
X4 + -22x + 22x + 7x2 + 8x3 = -6 + 22x

Combine like terms: -22x + 22x = 0
X4 + 0 + 7x2 + 8x3 = -6 + 22x
X4 + 7x2 + 8x3 = -6 + 22x

Add '-7x2' to each side of the equation.
X4 + 7x2 + -7x2 + 8x3 = -6 + 22x + -7x2

Combine like terms: 7x2 + -7x2 = 0
X4 + 0 + 8x3 = -6 + 22x + -7x2
X4 + 8x3 = -6 + 22x + -7x2

Add '-8x3' to each side of the equation.
X4 + 8x3 + -8x3 = -6 + 22x + -7x2 + -8x3

Combine like terms: 8x3 + -8x3 = 0
X4 + 0 = -6 + 22x + -7x2 + -8x3
X4 = -6 + 22x + -7x2 + -8x3

Simplifying
X4 = -6 + 22x + -7x2 + -8x3

Reorder the terms:
6 + X4 + -22x + 7x2 + 8x3 = -6 + 22x + -7x2 + -8x3 + 6 + -22x + 7x2 + 8x3

Reorder the terms:
6 + X4 + -22x + 7x2 + 8x3 = -6 + 6 + 22x + -22x + -7x2 + 7x2 + -8x3 + 8x3

Combine like terms: -6 + 6 = 0
6 + X4 + -22x + 7x2 + 8x3 = 0 + 22x + -22x + -7x2 + 7x2 + -8x3 + 8x3
6 + X4 + -22x + 7x2 + 8x3 = 22x + -22x + -7x2 + 7x2 + -8x3 + 8x3

Combine like terms: 22x + -22x = 0
6 + X4 + -22x + 7x2 + 8x3 = 0 + -7x2 + 7x2 + -8x3 + 8x3
6 + X4 + -22x + 7x2 + 8x3 = -7x2 + 7x2 + -8x3 + 8x3

Combine like terms: -7x2 + 7x2 = 0
6 + X4 + -22x + 7x2 + 8x3 = 0 + -8x3 + 8x3
6 + X4 + -22x + 7x2 + 8x3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
6 + X4 + -22x + 7x2 + 8x3 = 0

The solution to this equation could not be determined.

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