(x^2*D^2-4x*D-6I)y=0

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Solution for (x^2*D^2-4x*D-6I)y=0 equation: 


Simplifying
(x2 * D2 + -4x * D + -6I) * y = 0

Multiply x2 * D2
(x2D2 + -4x * D + -6I) * y = 0

Multiply x * D
(x2D2 + -4xD + -6I) * y = 0

Reorder the terms:
(-6I + -4xD + x2D2) * y = 0

Reorder the terms for easier multiplication:
y(-6I + -4xD + x2D2) = 0
(-6I * y + -4xD * y + x2D2 * y) = 0

Reorder the terms:
(-4xyD + x2yD2 + -6yI) = 0
(-4xyD + x2yD2 + -6yI) = 0

Solving
-4xyD + x2yD2 + -6yI = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-4xD + x2D2 + -6I) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-4xD + x2D2 + -6I)' equal to zero and attempt to solve:

Simplifying
-4xD + x2D2 + -6I = 0

Reorder the terms:
-6I + -4xD + x2D2 = 0

Solving
-6I + -4xD + x2D2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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