X^4+5x^3+10x^2+20x+24=0

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Solution for X^4+5x^3+10x^2+20x+24=0 equation: 


Simplifying
X4 + 5x3 + 10x2 + 20x + 24 = 0

Reorder the terms:
24 + X4 + 20x + 10x2 + 5x3 = 0

Solving
24 + X4 + 20x + 10x2 + 5x3 = 0

Solving for variable 'X'.

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

Add '-24' to each side of the equation.
24 + X4 + 20x + 10x2 + -24 + 5x3 = 0 + -24

Reorder the terms:
24 + -24 + X4 + 20x + 10x2 + 5x3 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + X4 + 20x + 10x2 + 5x3 = 0 + -24
X4 + 20x + 10x2 + 5x3 = 0 + -24

Combine like terms: 0 + -24 = -24
X4 + 20x + 10x2 + 5x3 = -24

Add '-20x' to each side of the equation.
X4 + 20x + 10x2 + -20x + 5x3 = -24 + -20x

Reorder the terms:
X4 + 20x + -20x + 10x2 + 5x3 = -24 + -20x

Combine like terms: 20x + -20x = 0
X4 + 0 + 10x2 + 5x3 = -24 + -20x
X4 + 10x2 + 5x3 = -24 + -20x

Add '-10x2' to each side of the equation.
X4 + 10x2 + -10x2 + 5x3 = -24 + -20x + -10x2

Combine like terms: 10x2 + -10x2 = 0
X4 + 0 + 5x3 = -24 + -20x + -10x2
X4 + 5x3 = -24 + -20x + -10x2

Add '-5x3' to each side of the equation.
X4 + 5x3 + -5x3 = -24 + -20x + -10x2 + -5x3

Combine like terms: 5x3 + -5x3 = 0
X4 + 0 = -24 + -20x + -10x2 + -5x3
X4 = -24 + -20x + -10x2 + -5x3

Simplifying
X4 = -24 + -20x + -10x2 + -5x3

Reorder the terms:
24 + X4 + 20x + 10x2 + 5x3 = -24 + -20x + -10x2 + -5x3 + 24 + 20x + 10x2 + 5x3

Reorder the terms:
24 + X4 + 20x + 10x2 + 5x3 = -24 + 24 + -20x + 20x + -10x2 + 10x2 + -5x3 + 5x3

Combine like terms: -24 + 24 = 0
24 + X4 + 20x + 10x2 + 5x3 = 0 + -20x + 20x + -10x2 + 10x2 + -5x3 + 5x3
24 + X4 + 20x + 10x2 + 5x3 = -20x + 20x + -10x2 + 10x2 + -5x3 + 5x3

Combine like terms: -20x + 20x = 0
24 + X4 + 20x + 10x2 + 5x3 = 0 + -10x2 + 10x2 + -5x3 + 5x3
24 + X4 + 20x + 10x2 + 5x3 = -10x2 + 10x2 + -5x3 + 5x3

Combine like terms: -10x2 + 10x2 = 0
24 + X4 + 20x + 10x2 + 5x3 = 0 + -5x3 + 5x3
24 + X4 + 20x + 10x2 + 5x3 = -5x3 + 5x3

Combine like terms: -5x3 + 5x3 = 0
24 + X4 + 20x + 10x2 + 5x3 = 0

The solution to this equation could not be determined.

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