((X^2)(D^2)+2DX+225.25I)y=0

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Solution for ((X^2)(D^2)+2DX+225.25I)y=0 equation: 


Simplifying
((X2)(D2) + 2DX + 225.25I) * y = 0

Multiply X2 * D2
(D2X2 + 2DX + 225.25I) * y = 0

Reorder the terms:
(2DX + D2X2 + 225.25I) * y = 0

Reorder the terms for easier multiplication:
y(2DX + D2X2 + 225.25I) = 0
(2DX * y + D2X2 * y + 225.25I * y) = 0
(2yDX + yD2X2 + 225.25yI) = 0

Solving
2yDX + yD2X2 + 225.25yI = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(2DX + D2X2 + 225.25I) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(2DX + D2X2 + 225.25I)' equal to zero and attempt to solve:

Simplifying
2DX + D2X2 + 225.25I = 0

Solving
2DX + D2X2 + 225.25I = 0

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

Add '-2DX' to each side of the equation.
2DX + D2X2 + -2DX + 225.25I = 0 + -2DX

Reorder the terms:
2DX + -2DX + D2X2 + 225.25I = 0 + -2DX

Combine like terms: 2DX + -2DX = 0
0 + D2X2 + 225.25I = 0 + -2DX
D2X2 + 225.25I = 0 + -2DX
Remove the zero:
D2X2 + 225.25I = -2DX

Add '-1D2X2' to each side of the equation.
D2X2 + -1D2X2 + 225.25I = -2DX + -1D2X2

Combine like terms: D2X2 + -1D2X2 = 0
0 + 225.25I = -2DX + -1D2X2
225.25I = -2DX + -1D2X2

Add '-225.25I' to each side of the equation.
225.25I + -225.25I = -2DX + -1D2X2 + -225.25I

Combine like terms: 225.25I + -225.25I = 0.00
0.00 = -2DX + -1D2X2 + -225.25I

Simplifying
0.00 = -2DX + -1D2X2 + -225.25I

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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