X^4+10x^3+25x^2-4x^2-40x-100=0

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Solution for X^4+10x^3+25x^2-4x^2-40x-100=0 equation: 


Simplifying
X4 + 10x3 + 25x2 + -4x2 + -40x + -100 = 0

Reorder the terms:
-100 + X4 + -40x + 25x2 + -4x2 + 10x3 = 0

Combine like terms: 25x2 + -4x2 = 21x2
-100 + X4 + -40x + 21x2 + 10x3 = 0

Solving
-100 + X4 + -40x + 21x2 + 10x3 = 0

Solving for variable 'X'.

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

Add '100' to each side of the equation.
-100 + X4 + -40x + 21x2 + 100 + 10x3 = 0 + 100

Reorder the terms:
-100 + 100 + X4 + -40x + 21x2 + 10x3 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + X4 + -40x + 21x2 + 10x3 = 0 + 100
X4 + -40x + 21x2 + 10x3 = 0 + 100

Combine like terms: 0 + 100 = 100
X4 + -40x + 21x2 + 10x3 = 100

Add '40x' to each side of the equation.
X4 + -40x + 21x2 + 40x + 10x3 = 100 + 40x

Reorder the terms:
X4 + -40x + 40x + 21x2 + 10x3 = 100 + 40x

Combine like terms: -40x + 40x = 0
X4 + 0 + 21x2 + 10x3 = 100 + 40x
X4 + 21x2 + 10x3 = 100 + 40x

Add '-21x2' to each side of the equation.
X4 + 21x2 + -21x2 + 10x3 = 100 + 40x + -21x2

Combine like terms: 21x2 + -21x2 = 0
X4 + 0 + 10x3 = 100 + 40x + -21x2
X4 + 10x3 = 100 + 40x + -21x2

Add '-10x3' to each side of the equation.
X4 + 10x3 + -10x3 = 100 + 40x + -21x2 + -10x3

Combine like terms: 10x3 + -10x3 = 0
X4 + 0 = 100 + 40x + -21x2 + -10x3
X4 = 100 + 40x + -21x2 + -10x3

Simplifying
X4 = 100 + 40x + -21x2 + -10x3

Reorder the terms:
-100 + X4 + -40x + 21x2 + 10x3 = 100 + 40x + -21x2 + -10x3 + -100 + -40x + 21x2 + 10x3

Reorder the terms:
-100 + X4 + -40x + 21x2 + 10x3 = 100 + -100 + 40x + -40x + -21x2 + 21x2 + -10x3 + 10x3

Combine like terms: 100 + -100 = 0
-100 + X4 + -40x + 21x2 + 10x3 = 0 + 40x + -40x + -21x2 + 21x2 + -10x3 + 10x3
-100 + X4 + -40x + 21x2 + 10x3 = 40x + -40x + -21x2 + 21x2 + -10x3 + 10x3

Combine like terms: 40x + -40x = 0
-100 + X4 + -40x + 21x2 + 10x3 = 0 + -21x2 + 21x2 + -10x3 + 10x3
-100 + X4 + -40x + 21x2 + 10x3 = -21x2 + 21x2 + -10x3 + 10x3

Combine like terms: -21x2 + 21x2 = 0
-100 + X4 + -40x + 21x2 + 10x3 = 0 + -10x3 + 10x3
-100 + X4 + -40x + 21x2 + 10x3 = -10x3 + 10x3

Combine like terms: -10x3 + 10x3 = 0
-100 + X4 + -40x + 21x2 + 10x3 = 0

The solution to this equation could not be determined.

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