3(x^2)(D^2)+6x(D^1)+D=0

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Solution for 3(x^2)(D^2)+6x(D^1)+D=0 equation: 


Simplifying
3(x2)(D2) + 6x(D) + D = 0

Multiply x2 * D2
3x2D2 + 6x(D) + D = 0

Multiply x * D
3x2D2 + 6xD + D = 0

Reorder the terms:
D + 6xD + 3x2D2 = 0

Solving
D + 6xD + 3x2D2 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), 'D'.
D(1 + 6x + 3x2D) = 0


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

Simplifying
D = 0

Solving
D = 0

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

Simplifying
D = 0

Subproblem 2
Set the factor '(1 + 6x + 3x2D)' equal to zero and attempt to solve:

Simplifying
1 + 6x + 3x2D = 0

Solving
1 + 6x + 3x2D = 0

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

Add '-1' to each side of the equation.
1 + 6x + -1 + 3x2D = 0 + -1

Reorder the terms:
1 + -1 + 6x + 3x2D = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x + 3x2D = 0 + -1
6x + 3x2D = 0 + -1

Combine like terms: 0 + -1 = -1
6x + 3x2D = -1

Add '-6x' to each side of the equation.
6x + -6x + 3x2D = -1 + -6x

Combine like terms: 6x + -6x = 0
0 + 3x2D = -1 + -6x
3x2D = -1 + -6x

Divide each side by '3x2'.
D = -0.3333333333x-2 + -2x-1

Simplifying
D = -0.3333333333x-2 + -2x-1
Solution
D = {0, -0.3333333333x-2 + -2x-1}

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