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

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


Simplifying
(D + -4)(D + 2) * y = 0

Reorder the terms:
(-4 + D)(D + 2) * y = 0

Reorder the terms:
(-4 + D)(2 + D) * y = 0

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

Multiply (-4 + D) * (2 + D)
y(-4(2 + D) + D(2 + D)) = 0
y((2 * -4 + D * -4) + D(2 + D)) = 0
y((-8 + -4D) + D(2 + D)) = 0
y(-8 + -4D + (2 * D + D * D)) = 0
y(-8 + -4D + (2D + D2)) = 0

Combine like terms: -4D + 2D = -2D
y(-8 + -2D + D2) = 0
(-8 * y + -2D * y + D2 * y) = 0
(-8y + -2yD + yD2) = 0

Solving
-8y + -2yD + 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(-8 + -2D + D2) = 0

Factor a trinomial.
y((-2 + -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 '(-2 + -1D)' equal to zero and attempt to solve:

Simplifying
-2 + -1D = 0

Solving
-2 + -1D = 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 + -1D = 0 + 2

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

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

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

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

Simplifying
0 = 2 + 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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