X(x+1)-ax(x+1)-2=0

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Solution for X(x+1)-ax(x+1)-2=0 equation: 


Simplifying
X(x + 1) + -1ax(x + 1) + -2 = 0

Reorder the terms:
X(1 + x) + -1ax(x + 1) + -2 = 0
(1 * X + x * X) + -1ax(x + 1) + -2 = 0
(1X + xX) + -1ax(x + 1) + -2 = 0

Reorder the terms:
1X + xX + -1ax(1 + x) + -2 = 0
1X + xX + (1 * -1ax + x * -1ax) + -2 = 0
1X + xX + (-1ax + -1ax2) + -2 = 0

Reorder the terms:
-2 + 1X + -1ax + -1ax2 + xX = 0

Solving
-2 + 1X + -1ax + -1ax2 + xX = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 1X + -1ax + -1ax2 + 2 + xX = 0 + 2

Reorder the terms:
-2 + 2 + 1X + -1ax + -1ax2 + xX = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1X + -1ax + -1ax2 + xX = 0 + 2
1X + -1ax + -1ax2 + xX = 0 + 2

Combine like terms: 0 + 2 = 2
1X + -1ax + -1ax2 + xX = 2

Add 'ax' to each side of the equation.
1X + -1ax + -1ax2 + ax + xX = 2 + ax

Reorder the terms:
1X + -1ax + ax + -1ax2 + xX = 2 + ax

Combine like terms: -1ax + ax = 0
1X + 0 + -1ax2 + xX = 2 + ax
1X + -1ax2 + xX = 2 + ax

Add 'ax2' to each side of the equation.
1X + -1ax2 + ax2 + xX = 2 + ax + ax2

Combine like terms: -1ax2 + ax2 = 0
1X + 0 + xX = 2 + ax + ax2
1X + xX = 2 + ax + ax2

Reorder the terms:
-2 + 1X + -1ax + -1ax2 + xX = 2 + ax + ax2 + -2 + -1ax + -1ax2

Reorder the terms:
-2 + 1X + -1ax + -1ax2 + xX = 2 + -2 + ax + -1ax + ax2 + -1ax2

Combine like terms: 2 + -2 = 0
-2 + 1X + -1ax + -1ax2 + xX = 0 + ax + -1ax + ax2 + -1ax2
-2 + 1X + -1ax + -1ax2 + xX = ax + -1ax + ax2 + -1ax2

Combine like terms: ax + -1ax = 0
-2 + 1X + -1ax + -1ax2 + xX = 0 + ax2 + -1ax2
-2 + 1X + -1ax + -1ax2 + xX = ax2 + -1ax2

Combine like terms: ax2 + -1ax2 = 0
-2 + 1X + -1ax + -1ax2 + xX = 0

The solution to this equation could not be determined.

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