(D^2-D-12)y=0

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Solution for (D^2-D-12)y=0 equation: 


Simplifying
(D2 + -1D + -12) * y = 0

Reorder the terms:
(-12 + -1D + D2) * y = 0

Reorder the terms for easier multiplication:
y(-12 + -1D + D2) = 0
(-12 * y + -1D * y + D2 * y) = 0
(-12y + -1yD + yD2) = 0

Solving
-12y + -1yD + 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(-12 + -1D + D2) = 0

Factor a trinomial.
y((-3 + -1D)(4 + -1D)) = 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 '(-3 + -1D)' equal to zero and attempt to solve:

Simplifying
-3 + -1D = 0

Solving
-3 + -1D = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1D = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1D = 0 + 3
-1D = 0 + 3

Combine like terms: 0 + 3 = 3
-1D = 3

Add 'D' to each side of the equation.
-1D + D = 3 + D

Combine like terms: -1D + D = 0
0 = 3 + D

Simplifying
0 = 3 + D

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(4 + -1D)' equal to zero and attempt to solve:

Simplifying
4 + -1D = 0

Solving
4 + -1D = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1D = 0 + -4

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

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

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

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

Simplifying
0 = -4 + D

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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