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

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


Simplifying
X4 + 4x3 + -1x2 + 16x + -20 = 0

Reorder the terms:
-20 + X4 + 16x + -1x2 + 4x3 = 0

Solving
-20 + X4 + 16x + -1x2 + 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 + 16x + -1x2 + 20 + 4x3 = 0 + 20

Reorder the terms:
-20 + 20 + X4 + 16x + -1x2 + 4x3 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + X4 + 16x + -1x2 + 4x3 = 0 + 20
X4 + 16x + -1x2 + 4x3 = 0 + 20

Combine like terms: 0 + 20 = 20
X4 + 16x + -1x2 + 4x3 = 20

Add '-16x' to each side of the equation.
X4 + 16x + -1x2 + -16x + 4x3 = 20 + -16x

Reorder the terms:
X4 + 16x + -16x + -1x2 + 4x3 = 20 + -16x

Combine like terms: 16x + -16x = 0
X4 + 0 + -1x2 + 4x3 = 20 + -16x
X4 + -1x2 + 4x3 = 20 + -16x

Add 'x2' to each side of the equation.
X4 + -1x2 + x2 + 4x3 = 20 + -16x + x2

Combine like terms: -1x2 + x2 = 0
X4 + 0 + 4x3 = 20 + -16x + x2
X4 + 4x3 = 20 + -16x + x2

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

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

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

Reorder the terms:
-20 + X4 + 16x + -1x2 + 4x3 = 20 + -16x + x2 + -4x3 + -20 + 16x + -1x2 + 4x3

Reorder the terms:
-20 + X4 + 16x + -1x2 + 4x3 = 20 + -20 + -16x + 16x + x2 + -1x2 + -4x3 + 4x3

Combine like terms: 20 + -20 = 0
-20 + X4 + 16x + -1x2 + 4x3 = 0 + -16x + 16x + x2 + -1x2 + -4x3 + 4x3
-20 + X4 + 16x + -1x2 + 4x3 = -16x + 16x + x2 + -1x2 + -4x3 + 4x3

Combine like terms: -16x + 16x = 0
-20 + X4 + 16x + -1x2 + 4x3 = 0 + x2 + -1x2 + -4x3 + 4x3
-20 + X4 + 16x + -1x2 + 4x3 = x2 + -1x2 + -4x3 + 4x3

Combine like terms: x2 + -1x2 = 0
-20 + X4 + 16x + -1x2 + 4x3 = 0 + -4x3 + 4x3
-20 + X4 + 16x + -1x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-20 + X4 + 16x + -1x2 + 4x3 = 0

The solution to this equation could not be determined.

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