(X^3-6x^2-21x-18)(2x-1)=(2x-1)

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Solution for (X^3-6x^2-21x-18)(2x-1)=(2x-1) equation: 


Simplifying
(X3 + -6x2 + -21x + -18)(2x + -1) = (2x + -1)

Reorder the terms:
(-18 + X3 + -21x + -6x2)(2x + -1) = (2x + -1)

Reorder the terms:
(-18 + X3 + -21x + -6x2)(-1 + 2x) = (2x + -1)

Multiply (-18 + X3 + -21x + -6x2) * (-1 + 2x)
(-18(-1 + 2x) + X3(-1 + 2x) + -21x * (-1 + 2x) + -6x2 * (-1 + 2x)) = (2x + -1)
((-1 * -18 + 2x * -18) + X3(-1 + 2x) + -21x * (-1 + 2x) + -6x2 * (-1 + 2x)) = (2x + -1)
((18 + -36x) + X3(-1 + 2x) + -21x * (-1 + 2x) + -6x2 * (-1 + 2x)) = (2x + -1)
(18 + -36x + (-1 * X3 + 2x * X3) + -21x * (-1 + 2x) + -6x2 * (-1 + 2x)) = (2x + -1)
(18 + -36x + (-1X3 + 2xX3) + -21x * (-1 + 2x) + -6x2 * (-1 + 2x)) = (2x + -1)
(18 + -36x + -1X3 + 2xX3 + (-1 * -21x + 2x * -21x) + -6x2 * (-1 + 2x)) = (2x + -1)
(18 + -36x + -1X3 + 2xX3 + (21x + -42x2) + -6x2 * (-1 + 2x)) = (2x + -1)
(18 + -36x + -1X3 + 2xX3 + 21x + -42x2 + (-1 * -6x2 + 2x * -6x2)) = (2x + -1)
(18 + -36x + -1X3 + 2xX3 + 21x + -42x2 + (6x2 + -12x3)) = (2x + -1)

Reorder the terms:
(18 + -1X3 + -36x + 21x + 2xX3 + -42x2 + 6x2 + -12x3) = (2x + -1)

Combine like terms: -36x + 21x = -15x
(18 + -1X3 + -15x + 2xX3 + -42x2 + 6x2 + -12x3) = (2x + -1)

Combine like terms: -42x2 + 6x2 = -36x2
(18 + -1X3 + -15x + 2xX3 + -36x2 + -12x3) = (2x + -1)

Reorder the terms:
18 + -1X3 + -15x + 2xX3 + -36x2 + -12x3 = (-1 + 2x)

Remove parenthesis around (-1 + 2x)
18 + -1X3 + -15x + 2xX3 + -36x2 + -12x3 = -1 + 2x

Solving
18 + -1X3 + -15x + 2xX3 + -36x2 + -12x3 = -1 + 2x

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + -1X3 + -15x + 2xX3 + -36x2 + -18 + -12x3 = -1 + -18 + 2x

Reorder the terms:
18 + -18 + -1X3 + -15x + 2xX3 + -36x2 + -12x3 = -1 + -18 + 2x

Combine like terms: 18 + -18 = 0
0 + -1X3 + -15x + 2xX3 + -36x2 + -12x3 = -1 + -18 + 2x
-1X3 + -15x + 2xX3 + -36x2 + -12x3 = -1 + -18 + 2x

Combine like terms: -1 + -18 = -19
-1X3 + -15x + 2xX3 + -36x2 + -12x3 = -19 + 2x

Add '15x' to each side of the equation.
-1X3 + -15x + 2xX3 + -36x2 + 15x + -12x3 = -19 + 2x + 15x

Reorder the terms:
-1X3 + -15x + 15x + 2xX3 + -36x2 + -12x3 = -19 + 2x + 15x

Combine like terms: -15x + 15x = 0
-1X3 + 0 + 2xX3 + -36x2 + -12x3 = -19 + 2x + 15x
-1X3 + 2xX3 + -36x2 + -12x3 = -19 + 2x + 15x

Combine like terms: 2x + 15x = 17x
-1X3 + 2xX3 + -36x2 + -12x3 = -19 + 17x

Add '36x2' to each side of the equation.
-1X3 + 2xX3 + -36x2 + 36x2 + -12x3 = -19 + 17x + 36x2

Combine like terms: -36x2 + 36x2 = 0
-1X3 + 2xX3 + 0 + -12x3 = -19 + 17x + 36x2
-1X3 + 2xX3 + -12x3 = -19 + 17x + 36x2

Add '12x3' to each side of the equation.
-1X3 + 2xX3 + -12x3 + 12x3 = -19 + 17x + 36x2 + 12x3

Combine like terms: -12x3 + 12x3 = 0
-1X3 + 2xX3 + 0 = -19 + 17x + 36x2 + 12x3
-1X3 + 2xX3 = -19 + 17x + 36x2 + 12x3

Reorder the terms:
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = -19 + 17x + 36x2 + 12x3 + 19 + -17x + -36x2 + -12x3

Reorder the terms:
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = -19 + 19 + 17x + -17x + 36x2 + -36x2 + 12x3 + -12x3

Combine like terms: -19 + 19 = 0
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = 0 + 17x + -17x + 36x2 + -36x2 + 12x3 + -12x3
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = 17x + -17x + 36x2 + -36x2 + 12x3 + -12x3

Combine like terms: 17x + -17x = 0
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = 0 + 36x2 + -36x2 + 12x3 + -12x3
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = 36x2 + -36x2 + 12x3 + -12x3

Combine like terms: 36x2 + -36x2 = 0
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = 0 + 12x3 + -12x3
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
19 + -1X3 + -17x + 2xX3 + -36x2 + -12x3 = 0

The solution to this equation could not be determined.

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