(D^2-2D-3)y=4-8X-6X^2

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Solution for (D^2-2D-3)y=4-8X-6X^2 equation: 


Simplifying
(D2 + -2D + -3) * y = 4 + -8X + -6X2

Reorder the terms:
(-3 + -2D + D2) * y = 4 + -8X + -6X2

Reorder the terms for easier multiplication:
y(-3 + -2D + D2) = 4 + -8X + -6X2
(-3 * y + -2D * y + D2 * y) = 4 + -8X + -6X2
(-3y + -2yD + yD2) = 4 + -8X + -6X2

Solving
-3y + -2yD + yD2 = 4 + -8X + -6X2

Solving for variable 'y'.

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

Reorder the terms:
-4 + 8X + 6X2 + -3y + -2yD + yD2 = 4 + -8X + -6X2 + -4 + 8X + 6X2

Reorder the terms:
-4 + 8X + 6X2 + -3y + -2yD + yD2 = 4 + -4 + -8X + 8X + -6X2 + 6X2

Combine like terms: 4 + -4 = 0
-4 + 8X + 6X2 + -3y + -2yD + yD2 = 0 + -8X + 8X + -6X2 + 6X2
-4 + 8X + 6X2 + -3y + -2yD + yD2 = -8X + 8X + -6X2 + 6X2

Combine like terms: -8X + 8X = 0
-4 + 8X + 6X2 + -3y + -2yD + yD2 = 0 + -6X2 + 6X2
-4 + 8X + 6X2 + -3y + -2yD + yD2 = -6X2 + 6X2

Combine like terms: -6X2 + 6X2 = 0
-4 + 8X + 6X2 + -3y + -2yD + yD2 = 0

The solution to this equation could not be determined.

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