X^4-4x^2-6x^3+24x+5x^2-20=0

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Solution for X^4-4x^2-6x^3+24x+5x^2-20=0 equation: 


Simplifying
X4 + -4x2 + -6x3 + 24x + 5x2 + -20 = 0

Reorder the terms:
-20 + X4 + 24x + -4x2 + 5x2 + -6x3 = 0

Combine like terms: -4x2 + 5x2 = 1x2
-20 + X4 + 24x + 1x2 + -6x3 = 0

Solving
-20 + X4 + 24x + 1x2 + -6x3 = 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 + 1x2 + 20 + -6x3 = 0 + 20

Reorder the terms:
-20 + 20 + X4 + 24x + 1x2 + -6x3 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + X4 + 24x + 1x2 + -6x3 = 0 + 20
X4 + 24x + 1x2 + -6x3 = 0 + 20

Combine like terms: 0 + 20 = 20
X4 + 24x + 1x2 + -6x3 = 20

Add '-24x' to each side of the equation.
X4 + 24x + 1x2 + -24x + -6x3 = 20 + -24x

Reorder the terms:
X4 + 24x + -24x + 1x2 + -6x3 = 20 + -24x

Combine like terms: 24x + -24x = 0
X4 + 0 + 1x2 + -6x3 = 20 + -24x
X4 + 1x2 + -6x3 = 20 + -24x

Add '-1x2' to each side of the equation.
X4 + 1x2 + -1x2 + -6x3 = 20 + -24x + -1x2

Combine like terms: 1x2 + -1x2 = 0
X4 + 0 + -6x3 = 20 + -24x + -1x2
X4 + -6x3 = 20 + -24x + -1x2

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = 20 + -24x + -1x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = 20 + -24x + -1x2 + 6x3
X4 = 20 + -24x + -1x2 + 6x3

Simplifying
X4 = 20 + -24x + -1x2 + 6x3

Reorder the terms:
-20 + X4 + 24x + x2 + -6x3 = 20 + -24x + -1x2 + 6x3 + -20 + 24x + x2 + -6x3

Reorder the terms:
-20 + X4 + 24x + x2 + -6x3 = 20 + -20 + -24x + 24x + -1x2 + x2 + 6x3 + -6x3

Combine like terms: 20 + -20 = 0
-20 + X4 + 24x + x2 + -6x3 = 0 + -24x + 24x + -1x2 + x2 + 6x3 + -6x3
-20 + X4 + 24x + x2 + -6x3 = -24x + 24x + -1x2 + x2 + 6x3 + -6x3

Combine like terms: -24x + 24x = 0
-20 + X4 + 24x + x2 + -6x3 = 0 + -1x2 + x2 + 6x3 + -6x3
-20 + X4 + 24x + x2 + -6x3 = -1x2 + x2 + 6x3 + -6x3

Combine like terms: -1x2 + x2 = 0
-20 + X4 + 24x + x2 + -6x3 = 0 + 6x3 + -6x3
-20 + X4 + 24x + x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-20 + X4 + 24x + x2 + -6x3 = 0

The solution to this equation could not be determined.

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