X^4-8x^3+23x^2-28x+11=0

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Solution for X^4-8x^3+23x^2-28x+11=0 equation:


Simplifying
X4 + -8x3 + 23x2 + -28x + 11 = 0

Reorder the terms:
11 + X4 + -28x + 23x2 + -8x3 = 0

Solving
11 + X4 + -28x + 23x2 + -8x3 = 0

Solving for variable 'X'.

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

Add '-11' to each side of the equation.
11 + X4 + -28x + 23x2 + -11 + -8x3 = 0 + -11

Reorder the terms:
11 + -11 + X4 + -28x + 23x2 + -8x3 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + X4 + -28x + 23x2 + -8x3 = 0 + -11
X4 + -28x + 23x2 + -8x3 = 0 + -11

Combine like terms: 0 + -11 = -11
X4 + -28x + 23x2 + -8x3 = -11

Add '28x' to each side of the equation.
X4 + -28x + 23x2 + 28x + -8x3 = -11 + 28x

Reorder the terms:
X4 + -28x + 28x + 23x2 + -8x3 = -11 + 28x

Combine like terms: -28x + 28x = 0
X4 + 0 + 23x2 + -8x3 = -11 + 28x
X4 + 23x2 + -8x3 = -11 + 28x

Add '-23x2' to each side of the equation.
X4 + 23x2 + -23x2 + -8x3 = -11 + 28x + -23x2

Combine like terms: 23x2 + -23x2 = 0
X4 + 0 + -8x3 = -11 + 28x + -23x2
X4 + -8x3 = -11 + 28x + -23x2

Add '8x3' to each side of the equation.
X4 + -8x3 + 8x3 = -11 + 28x + -23x2 + 8x3

Combine like terms: -8x3 + 8x3 = 0
X4 + 0 = -11 + 28x + -23x2 + 8x3
X4 = -11 + 28x + -23x2 + 8x3

Simplifying
X4 = -11 + 28x + -23x2 + 8x3

Reorder the terms:
11 + X4 + -28x + 23x2 + -8x3 = -11 + 28x + -23x2 + 8x3 + 11 + -28x + 23x2 + -8x3

Reorder the terms:
11 + X4 + -28x + 23x2 + -8x3 = -11 + 11 + 28x + -28x + -23x2 + 23x2 + 8x3 + -8x3

Combine like terms: -11 + 11 = 0
11 + X4 + -28x + 23x2 + -8x3 = 0 + 28x + -28x + -23x2 + 23x2 + 8x3 + -8x3
11 + X4 + -28x + 23x2 + -8x3 = 28x + -28x + -23x2 + 23x2 + 8x3 + -8x3

Combine like terms: 28x + -28x = 0
11 + X4 + -28x + 23x2 + -8x3 = 0 + -23x2 + 23x2 + 8x3 + -8x3
11 + X4 + -28x + 23x2 + -8x3 = -23x2 + 23x2 + 8x3 + -8x3

Combine like terms: -23x2 + 23x2 = 0
11 + X4 + -28x + 23x2 + -8x3 = 0 + 8x3 + -8x3
11 + X4 + -28x + 23x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
11 + X4 + -28x + 23x2 + -8x3 = 0

The solution to this equation could not be determined.

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