X^4-8x^3+30x^2-56x+13=0

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Solution for X^4-8x^3+30x^2-56x+13=0 equation: 


Simplifying
X4 + -8x3 + 30x2 + -56x + 13 = 0

Reorder the terms:
13 + X4 + -56x + 30x2 + -8x3 = 0

Solving
13 + X4 + -56x + 30x2 + -8x3 = 0

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + X4 + -56x + 30x2 + -13 + -8x3 = 0 + -13

Reorder the terms:
13 + -13 + X4 + -56x + 30x2 + -8x3 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + X4 + -56x + 30x2 + -8x3 = 0 + -13
X4 + -56x + 30x2 + -8x3 = 0 + -13

Combine like terms: 0 + -13 = -13
X4 + -56x + 30x2 + -8x3 = -13

Add '56x' to each side of the equation.
X4 + -56x + 30x2 + 56x + -8x3 = -13 + 56x

Reorder the terms:
X4 + -56x + 56x + 30x2 + -8x3 = -13 + 56x

Combine like terms: -56x + 56x = 0
X4 + 0 + 30x2 + -8x3 = -13 + 56x
X4 + 30x2 + -8x3 = -13 + 56x

Add '-30x2' to each side of the equation.
X4 + 30x2 + -30x2 + -8x3 = -13 + 56x + -30x2

Combine like terms: 30x2 + -30x2 = 0
X4 + 0 + -8x3 = -13 + 56x + -30x2
X4 + -8x3 = -13 + 56x + -30x2

Add '8x3' to each side of the equation.
X4 + -8x3 + 8x3 = -13 + 56x + -30x2 + 8x3

Combine like terms: -8x3 + 8x3 = 0
X4 + 0 = -13 + 56x + -30x2 + 8x3
X4 = -13 + 56x + -30x2 + 8x3

Simplifying
X4 = -13 + 56x + -30x2 + 8x3

Reorder the terms:
13 + X4 + -56x + 30x2 + -8x3 = -13 + 56x + -30x2 + 8x3 + 13 + -56x + 30x2 + -8x3

Reorder the terms:
13 + X4 + -56x + 30x2 + -8x3 = -13 + 13 + 56x + -56x + -30x2 + 30x2 + 8x3 + -8x3

Combine like terms: -13 + 13 = 0
13 + X4 + -56x + 30x2 + -8x3 = 0 + 56x + -56x + -30x2 + 30x2 + 8x3 + -8x3
13 + X4 + -56x + 30x2 + -8x3 = 56x + -56x + -30x2 + 30x2 + 8x3 + -8x3

Combine like terms: 56x + -56x = 0
13 + X4 + -56x + 30x2 + -8x3 = 0 + -30x2 + 30x2 + 8x3 + -8x3
13 + X4 + -56x + 30x2 + -8x3 = -30x2 + 30x2 + 8x3 + -8x3

Combine like terms: -30x2 + 30x2 = 0
13 + X4 + -56x + 30x2 + -8x3 = 0 + 8x3 + -8x3
13 + X4 + -56x + 30x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
13 + X4 + -56x + 30x2 + -8x3 = 0

The solution to this equation could not be determined.

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