D^3-4D^2+13D=0

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Solution for D^3-4D^2+13D=0 equation: 


Simplifying
D3 + -4D2 + 13D = 0

Reorder the terms:
13D + -4D2 + D3 = 0

Solving
13D + -4D2 + D3 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), 'D'.
D(13 + -4D + D2) = 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 '(13 + -4D + D2)' equal to zero and attempt to solve:

Simplifying
13 + -4D + D2 = 0

Solving
13 + -4D + D2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -4D + -13 + D2 = 0 + -13

Reorder the terms:
13 + -13 + -4D + D2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4D + D2 = 0 + -13
-4D + D2 = 0 + -13

Combine like terms: 0 + -13 = -13
-4D + D2 = -13

The D term is -4D.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4D + 4 + D2 = -13 + 4

Reorder the terms:
4 + -4D + D2 = -13 + 4

Combine like terms: -13 + 4 = -9
4 + -4D + D2 = -9

Factor a perfect square on the left side:
(D + -2)(D + -2) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
D = {0}

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