(4D^3+12D^2+13D+10)y=0

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Solution for (4D^3+12D^2+13D+10)y=0 equation: 


Simplifying
(4D3 + 12D2 + 13D + 10) * y = 0

Reorder the terms:
(10 + 13D + 12D2 + 4D3) * y = 0

Reorder the terms for easier multiplication:
y(10 + 13D + 12D2 + 4D3) = 0
(10 * y + 13D * y + 12D2 * y + 4D3 * y) = 0
(10y + 13yD + 12yD2 + 4yD3) = 0

Solving
10y + 13yD + 12yD2 + 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(10 + 13D + 12D2 + 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 '(10 + 13D + 12D2 + 4D3)' equal to zero and attempt to solve:

Simplifying
10 + 13D + 12D2 + 4D3 = 0

Solving
10 + 13D + 12D2 + 4D3 = 0

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

Add '-10' to each side of the equation.
10 + 13D + 12D2 + -10 + 4D3 = 0 + -10

Reorder the terms:
10 + -10 + 13D + 12D2 + 4D3 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 13D + 12D2 + 4D3 = 0 + -10
13D + 12D2 + 4D3 = 0 + -10

Combine like terms: 0 + -10 = -10
13D + 12D2 + 4D3 = -10

Add '-13D' to each side of the equation.
13D + 12D2 + -13D + 4D3 = -10 + -13D

Reorder the terms:
13D + -13D + 12D2 + 4D3 = -10 + -13D

Combine like terms: 13D + -13D = 0
0 + 12D2 + 4D3 = -10 + -13D
12D2 + 4D3 = -10 + -13D

Add '-12D2' to each side of the equation.
12D2 + -12D2 + 4D3 = -10 + -13D + -12D2

Combine like terms: 12D2 + -12D2 = 0
0 + 4D3 = -10 + -13D + -12D2
4D3 = -10 + -13D + -12D2

Add '-4D3' to each side of the equation.
4D3 + -4D3 = -10 + -13D + -12D2 + -4D3

Combine like terms: 4D3 + -4D3 = 0
0 = -10 + -13D + -12D2 + -4D3

Simplifying
0 = -10 + -13D + -12D2 + -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}

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