(D+D^1-1)(D+2D^1+3)z=4+3x+6y

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Solution for (D+D^1-1)(D+2D^1+3)z=4+3x+6y equation: 


Simplifying
(D + D + -1)(D + 2D + 3) * z = 4 + 3x + 6y

Reorder the terms:
(-1 + D + D)(D + 2D + 3) * z = 4 + 3x + 6y

Combine like terms: D + D = 2D
(-1 + 2D)(D + 2D + 3) * z = 4 + 3x + 6y

Reorder the terms:
(-1 + 2D)(3 + D + 2D) * z = 4 + 3x + 6y

Combine like terms: D + 2D = 3D
(-1 + 2D)(3 + 3D) * z = 4 + 3x + 6y

Reorder the terms for easier multiplication:
z(-1 + 2D)(3 + 3D) = 4 + 3x + 6y

Multiply (-1 + 2D) * (3 + 3D)
z(-1(3 + 3D) + 2D * (3 + 3D)) = 4 + 3x + 6y
z((3 * -1 + 3D * -1) + 2D * (3 + 3D)) = 4 + 3x + 6y
z((-3 + -3D) + 2D * (3 + 3D)) = 4 + 3x + 6y
z(-3 + -3D + (3 * 2D + 3D * 2D)) = 4 + 3x + 6y
z(-3 + -3D + (6D + 6D2)) = 4 + 3x + 6y

Combine like terms: -3D + 6D = 3D
z(-3 + 3D + 6D2) = 4 + 3x + 6y
(-3 * z + 3D * z + 6D2 * z) = 4 + 3x + 6y
(-3z + 3zD + 6zD2) = 4 + 3x + 6y

Solving
-3z + 3zD + 6zD2 = 4 + 3x + 6y

Solving for variable 'z'.

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

Reorder the terms:
-4 + -3x + -6y + -3z + 3zD + 6zD2 = 4 + 3x + 6y + -4 + -3x + -6y

Reorder the terms:
-4 + -3x + -6y + -3z + 3zD + 6zD2 = 4 + -4 + 3x + -3x + 6y + -6y

Combine like terms: 4 + -4 = 0
-4 + -3x + -6y + -3z + 3zD + 6zD2 = 0 + 3x + -3x + 6y + -6y
-4 + -3x + -6y + -3z + 3zD + 6zD2 = 3x + -3x + 6y + -6y

Combine like terms: 3x + -3x = 0
-4 + -3x + -6y + -3z + 3zD + 6zD2 = 0 + 6y + -6y
-4 + -3x + -6y + -3z + 3zD + 6zD2 = 6y + -6y

Combine like terms: 6y + -6y = 0
-4 + -3x + -6y + -3z + 3zD + 6zD2 = 0

The solution to this equation could not be determined.

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