(D^2-3D^2+4)y=0

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Solution for (D^2-3D^2+4)y=0 equation: 


Simplifying
(D2 + -3D2 + 4) * y = 0

Reorder the terms:
(4 + D2 + -3D2) * y = 0

Combine like terms: D2 + -3D2 = -2D2
(4 + -2D2) * y = 0

Reorder the terms for easier multiplication:
y(4 + -2D2) = 0
(4 * y + -2D2 * y) = 0
(4y + -2yD2) = 0

Solving
4y + -2yD2 = 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), '2y'.
2y(2 + -1D2) = 0

Ignore the factor 2.

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 '(2 + -1D2)' equal to zero and attempt to solve:

Simplifying
2 + -1D2 = 0

Solving
2 + -1D2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1D2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1D2 = 0 + -2
-1D2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1D2 = -2

Add 'D2' to each side of the equation.
-1D2 + D2 = -2 + D2

Combine like terms: -1D2 + D2 = 0
0 = -2 + D2

Simplifying
0 = -2 + D2

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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