X^4-4x^3+16x^2-24x+20=0

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Solution for X^4-4x^3+16x^2-24x+20=0 equation:


Simplifying
X4 + -4x3 + 16x2 + -24x + 20 = 0

Reorder the terms:
20 + X4 + -24x + 16x2 + -4x3 = 0

Solving
20 + X4 + -24x + 16x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X4 + -24x + 16x2 + -20 + -4x3 = 0 + -20

Reorder the terms:
20 + -20 + X4 + -24x + 16x2 + -4x3 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + X4 + -24x + 16x2 + -4x3 = 0 + -20
X4 + -24x + 16x2 + -4x3 = 0 + -20

Combine like terms: 0 + -20 = -20
X4 + -24x + 16x2 + -4x3 = -20

Add '24x' to each side of the equation.
X4 + -24x + 16x2 + 24x + -4x3 = -20 + 24x

Reorder the terms:
X4 + -24x + 24x + 16x2 + -4x3 = -20 + 24x

Combine like terms: -24x + 24x = 0
X4 + 0 + 16x2 + -4x3 = -20 + 24x
X4 + 16x2 + -4x3 = -20 + 24x

Add '-16x2' to each side of the equation.
X4 + 16x2 + -16x2 + -4x3 = -20 + 24x + -16x2

Combine like terms: 16x2 + -16x2 = 0
X4 + 0 + -4x3 = -20 + 24x + -16x2
X4 + -4x3 = -20 + 24x + -16x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = -20 + 24x + -16x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = -20 + 24x + -16x2 + 4x3
X4 = -20 + 24x + -16x2 + 4x3

Simplifying
X4 = -20 + 24x + -16x2 + 4x3

Reorder the terms:
20 + X4 + -24x + 16x2 + -4x3 = -20 + 24x + -16x2 + 4x3 + 20 + -24x + 16x2 + -4x3

Reorder the terms:
20 + X4 + -24x + 16x2 + -4x3 = -20 + 20 + 24x + -24x + -16x2 + 16x2 + 4x3 + -4x3

Combine like terms: -20 + 20 = 0
20 + X4 + -24x + 16x2 + -4x3 = 0 + 24x + -24x + -16x2 + 16x2 + 4x3 + -4x3
20 + X4 + -24x + 16x2 + -4x3 = 24x + -24x + -16x2 + 16x2 + 4x3 + -4x3

Combine like terms: 24x + -24x = 0
20 + X4 + -24x + 16x2 + -4x3 = 0 + -16x2 + 16x2 + 4x3 + -4x3
20 + X4 + -24x + 16x2 + -4x3 = -16x2 + 16x2 + 4x3 + -4x3

Combine like terms: -16x2 + 16x2 = 0
20 + X4 + -24x + 16x2 + -4x3 = 0 + 4x3 + -4x3
20 + X4 + -24x + 16x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
20 + X4 + -24x + 16x2 + -4x3 = 0

The solution to this equation could not be determined.

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