X^4-8x^3+23x^2-28x+12=0

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Solution for X^4-8x^3+23x^2-28x+12=0 equation: 


Simplifying
X4 + -8x3 + 23x2 + -28x + 12 = 0

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

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

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + X4 + -28x + 23x2 + -12 + -8x3 = 0 + -12

Reorder the terms:
12 + -12 + X4 + -28x + 23x2 + -8x3 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + X4 + -28x + 23x2 + -8x3 = 0 + -12
X4 + -28x + 23x2 + -8x3 = 0 + -12

Combine like terms: 0 + -12 = -12
X4 + -28x + 23x2 + -8x3 = -12

Add '28x' to each side of the equation.
X4 + -28x + 23x2 + 28x + -8x3 = -12 + 28x

Reorder the terms:
X4 + -28x + 28x + 23x2 + -8x3 = -12 + 28x

Combine like terms: -28x + 28x = 0
X4 + 0 + 23x2 + -8x3 = -12 + 28x
X4 + 23x2 + -8x3 = -12 + 28x

Add '-23x2' to each side of the equation.
X4 + 23x2 + -23x2 + -8x3 = -12 + 28x + -23x2

Combine like terms: 23x2 + -23x2 = 0
X4 + 0 + -8x3 = -12 + 28x + -23x2
X4 + -8x3 = -12 + 28x + -23x2

Add '8x3' to each side of the equation.
X4 + -8x3 + 8x3 = -12 + 28x + -23x2 + 8x3

Combine like terms: -8x3 + 8x3 = 0
X4 + 0 = -12 + 28x + -23x2 + 8x3
X4 = -12 + 28x + -23x2 + 8x3

Simplifying
X4 = -12 + 28x + -23x2 + 8x3

Reorder the terms:
12 + X4 + -28x + 23x2 + -8x3 = -12 + 28x + -23x2 + 8x3 + 12 + -28x + 23x2 + -8x3

Reorder the terms:
12 + X4 + -28x + 23x2 + -8x3 = -12 + 12 + 28x + -28x + -23x2 + 23x2 + 8x3 + -8x3

Combine like terms: -12 + 12 = 0
12 + X4 + -28x + 23x2 + -8x3 = 0 + 28x + -28x + -23x2 + 23x2 + 8x3 + -8x3
12 + X4 + -28x + 23x2 + -8x3 = 28x + -28x + -23x2 + 23x2 + 8x3 + -8x3

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

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

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

The solution to this equation could not be determined.

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