X^4-6x^3+21x^2-14x-40=0

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Solution for X^4-6x^3+21x^2-14x-40=0 equation: 


Simplifying
X4 + -6x3 + 21x2 + -14x + -40 = 0

Reorder the terms:
-40 + X4 + -14x + 21x2 + -6x3 = 0

Solving
-40 + X4 + -14x + 21x2 + -6x3 = 0

Solving for variable 'X'.

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

Add '40' to each side of the equation.
-40 + X4 + -14x + 21x2 + 40 + -6x3 = 0 + 40

Reorder the terms:
-40 + 40 + X4 + -14x + 21x2 + -6x3 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + X4 + -14x + 21x2 + -6x3 = 0 + 40
X4 + -14x + 21x2 + -6x3 = 0 + 40

Combine like terms: 0 + 40 = 40
X4 + -14x + 21x2 + -6x3 = 40

Add '14x' to each side of the equation.
X4 + -14x + 21x2 + 14x + -6x3 = 40 + 14x

Reorder the terms:
X4 + -14x + 14x + 21x2 + -6x3 = 40 + 14x

Combine like terms: -14x + 14x = 0
X4 + 0 + 21x2 + -6x3 = 40 + 14x
X4 + 21x2 + -6x3 = 40 + 14x

Add '-21x2' to each side of the equation.
X4 + 21x2 + -21x2 + -6x3 = 40 + 14x + -21x2

Combine like terms: 21x2 + -21x2 = 0
X4 + 0 + -6x3 = 40 + 14x + -21x2
X4 + -6x3 = 40 + 14x + -21x2

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = 40 + 14x + -21x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = 40 + 14x + -21x2 + 6x3
X4 = 40 + 14x + -21x2 + 6x3

Simplifying
X4 = 40 + 14x + -21x2 + 6x3

Reorder the terms:
-40 + X4 + -14x + 21x2 + -6x3 = 40 + 14x + -21x2 + 6x3 + -40 + -14x + 21x2 + -6x3

Reorder the terms:
-40 + X4 + -14x + 21x2 + -6x3 = 40 + -40 + 14x + -14x + -21x2 + 21x2 + 6x3 + -6x3

Combine like terms: 40 + -40 = 0
-40 + X4 + -14x + 21x2 + -6x3 = 0 + 14x + -14x + -21x2 + 21x2 + 6x3 + -6x3
-40 + X4 + -14x + 21x2 + -6x3 = 14x + -14x + -21x2 + 21x2 + 6x3 + -6x3

Combine like terms: 14x + -14x = 0
-40 + X4 + -14x + 21x2 + -6x3 = 0 + -21x2 + 21x2 + 6x3 + -6x3
-40 + X4 + -14x + 21x2 + -6x3 = -21x2 + 21x2 + 6x3 + -6x3

Combine like terms: -21x2 + 21x2 = 0
-40 + X4 + -14x + 21x2 + -6x3 = 0 + 6x3 + -6x3
-40 + X4 + -14x + 21x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-40 + X4 + -14x + 21x2 + -6x3 = 0

The solution to this equation could not be determined.

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