(D^2-4D+7)y=0

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Solution for (D^2-4D+7)y=0 equation: 


Simplifying
(D2 + -4D + 7) * y = 0

Reorder the terms:
(7 + -4D + D2) * y = 0

Reorder the terms for easier multiplication:
y(7 + -4D + D2) = 0
(7 * y + -4D * y + D2 * y) = 0
(7y + -4yD + yD2) = 0

Solving
7y + -4yD + yD2 = 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(7 + -4D + D2) = 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 '(7 + -4D + D2)' equal to zero and attempt to solve:

Simplifying
7 + -4D + D2 = 0

Solving
7 + -4D + D2 = 0

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

Add '-7' to each side of the equation.
7 + -4D + -7 + D2 = 0 + -7

Reorder the terms:
7 + -7 + -4D + D2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4D + D2 = 0 + -7
-4D + D2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4D + D2 = -7

Add '4D' to each side of the equation.
-4D + 4D + D2 = -7 + 4D

Combine like terms: -4D + 4D = 0
0 + D2 = -7 + 4D
D2 = -7 + 4D

Add '-1D2' to each side of the equation.
D2 + -1D2 = -7 + 4D + -1D2

Combine like terms: D2 + -1D2 = 0
0 = -7 + 4D + -1D2

Simplifying
0 = -7 + 4D + -1D2

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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