(D^2+6D+9)y=(2D+9)x

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Solution for (D^2+6D+9)y=(2D+9)x equation: 


Simplifying
(D2 + 6D + 9) * y = (2D + 9) * x

Reorder the terms:
(9 + 6D + D2) * y = (2D + 9) * x

Reorder the terms for easier multiplication:
y(9 + 6D + D2) = (2D + 9) * x
(9 * y + 6D * y + D2 * y) = (2D + 9) * x
(9y + 6yD + yD2) = (2D + 9) * x

Reorder the terms:
9y + 6yD + yD2 = (9 + 2D) * x

Reorder the terms for easier multiplication:
9y + 6yD + yD2 = x(9 + 2D)
9y + 6yD + yD2 = (9 * x + 2D * x)
9y + 6yD + yD2 = (9x + 2xD)

Solving
9y + 6yD + yD2 = 9x + 2xD

Solving for variable 'y'.

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

Reorder the terms:
-9x + -2xD + 9y + 6yD + yD2 = 9x + 2xD + -9x + -2xD

Reorder the terms:
-9x + -2xD + 9y + 6yD + yD2 = 9x + -9x + 2xD + -2xD

Combine like terms: 9x + -9x = 0
-9x + -2xD + 9y + 6yD + yD2 = 0 + 2xD + -2xD
-9x + -2xD + 9y + 6yD + yD2 = 2xD + -2xD

Combine like terms: 2xD + -2xD = 0
-9x + -2xD + 9y + 6yD + yD2 = 0

The solution to this equation could not be determined.

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