x^3-3x^2+(a+2)x-a=0

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Solution for x^3-3x^2+(a+2)x-a=0 equation: 


Simplifying
x3 + -3x2 + (a + 2) * x + -1a = 0

Reorder the terms:
x3 + -3x2 + (2 + a) * x + -1a = 0

Reorder the terms for easier multiplication:
x3 + -3x2 + x(2 + a) + -1a = 0
x3 + -3x2 + (2 * x + a * x) + -1a = 0

Reorder the terms:
x3 + -3x2 + (ax + 2x) + -1a = 0
x3 + -3x2 + (ax + 2x) + -1a = 0

Reorder the terms:
-1a + ax + 2x + -3x2 + x3 = 0

Solving
-1a + ax + 2x + -3x2 + x3 = 0

Solving for variable 'a'.

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

Add '-2x' to each side of the equation.
-1a + ax + 2x + -3x2 + -2x + x3 = 0 + -2x

Reorder the terms:
-1a + ax + 2x + -2x + -3x2 + x3 = 0 + -2x

Combine like terms: 2x + -2x = 0
-1a + ax + 0 + -3x2 + x3 = 0 + -2x
-1a + ax + -3x2 + x3 = 0 + -2x
Remove the zero:
-1a + ax + -3x2 + x3 = -2x

Add '3x2' to each side of the equation.
-1a + ax + -3x2 + 3x2 + x3 = -2x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1a + ax + 0 + x3 = -2x + 3x2
-1a + ax + x3 = -2x + 3x2

Add '-1x3' to each side of the equation.
-1a + ax + x3 + -1x3 = -2x + 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-1a + ax + 0 = -2x + 3x2 + -1x3
-1a + ax = -2x + 3x2 + -1x3

Reorder the terms:
-1a + ax + 2x + -3x2 + x3 = -2x + 2x + 3x2 + -3x2 + -1x3 + x3

Combine like terms: -2x + 2x = 0
-1a + ax + 2x + -3x2 + x3 = 0 + 3x2 + -3x2 + -1x3 + x3
-1a + ax + 2x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
-1a + ax + 2x + -3x2 + x3 = 0 + -1x3 + x3
-1a + ax + 2x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-1a + ax + 2x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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