-4d^4+d^3-3d^2=0

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

Simplifying
-4d4 + d3 + -3d2 = 0

Reorder the terms:
-3d2 + d3 + -4d4 = 0

Solving
-3d2 + d3 + -4d4 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd2'.
d2(-3 + d + -4d2) = 0

Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve:

Simplifying
d2 = 0

Solving
d2 = 0

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

Simplifying
d2 = 0

Take the square root of each side:
d = {0}
Subproblem 2
Set the factor '(-3 + d + -4d2)' equal to zero and attempt to solve:

Simplifying
-3 + d + -4d2 = 0

Solving
-3 + d + -4d2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.75 + -0.25d + d2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25d + -0.75 + d2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25d + d2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25d + d2 = 0 + -0.75
-0.25d + d2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25d + d2 = -0.75

The d term is d.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.25d + 0.25 + d2 = -0.75 + 0.25

Reorder the terms:
0.25 + -0.25d + d2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
0.25 + -0.25d + d2 = -0.5

Factor a perfect square on the left side:
(d + 0.5)(d + 0.5) = -0.5

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}