(4D^3-7D+3)y=0

Solution for (4D^3-7D+3)y=0 equation:

Simplifying
(4D3 + -7D + 3) * y = 0

Reorder the terms:
(3 + -7D + 4D3) * y = 0

Reorder the terms for easier multiplication:
y(3 + -7D + 4D3) = 0
(3 * y + -7D * y + 4D3 * y) = 0
(3y + -7yD + 4yD3) = 0

Solving
3y + -7yD + 4yD3 = 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(3 + -7D + 4D3) = 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 + -7D + 4D3)' equal to zero and attempt to solve:

Simplifying
3 + -7D + 4D3 = 0

Solving
3 + -7D + 4D3 = 0

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

Add '-3' to each side of the equation.
3 + -7D + -3 + 4D3 = 0 + -3

Reorder the terms:
3 + -3 + -7D + 4D3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7D + 4D3 = 0 + -3
-7D + 4D3 = 0 + -3

Combine like terms: 0 + -3 = -3
-7D + 4D3 = -3

Add '7D' to each side of the equation.
-7D + 7D + 4D3 = -3 + 7D

Combine like terms: -7D + 7D = 0
0 + 4D3 = -3 + 7D
4D3 = -3 + 7D

Add '-4D3' to each side of the equation.
4D3 + -4D3 = -3 + 7D + -4D3

Combine like terms: 4D3 + -4D3 = 0
0 = -3 + 7D + -4D3

Simplifying
0 = -3 + 7D + -4D3

The solution to this equation could not be determined.

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