(6D^3-7D^2-43D+30)y=0

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Solution for (6D^3-7D^2-43D+30)y=0 equation: 


Simplifying
(6D3 + -7D2 + -43D + 30) * y = 0

Reorder the terms:
(30 + -43D + -7D2 + 6D3) * y = 0

Reorder the terms for easier multiplication:
y(30 + -43D + -7D2 + 6D3) = 0
(30 * y + -43D * y + -7D2 * y + 6D3 * y) = 0
(30y + -43yD + -7yD2 + 6yD3) = 0

Solving
30y + -43yD + -7yD2 + 6yD3 = 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(30 + -43D + -7D2 + 6D3) = 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 '(30 + -43D + -7D2 + 6D3)' equal to zero and attempt to solve:

Simplifying
30 + -43D + -7D2 + 6D3 = 0

Solving
30 + -43D + -7D2 + 6D3 = 0

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

Add '-30' to each side of the equation.
30 + -43D + -7D2 + -30 + 6D3 = 0 + -30

Reorder the terms:
30 + -30 + -43D + -7D2 + 6D3 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -43D + -7D2 + 6D3 = 0 + -30
-43D + -7D2 + 6D3 = 0 + -30

Combine like terms: 0 + -30 = -30
-43D + -7D2 + 6D3 = -30

Add '43D' to each side of the equation.
-43D + -7D2 + 43D + 6D3 = -30 + 43D

Reorder the terms:
-43D + 43D + -7D2 + 6D3 = -30 + 43D

Combine like terms: -43D + 43D = 0
0 + -7D2 + 6D3 = -30 + 43D
-7D2 + 6D3 = -30 + 43D

Add '7D2' to each side of the equation.
-7D2 + 7D2 + 6D3 = -30 + 43D + 7D2

Combine like terms: -7D2 + 7D2 = 0
0 + 6D3 = -30 + 43D + 7D2
6D3 = -30 + 43D + 7D2

Add '-6D3' to each side of the equation.
6D3 + -6D3 = -30 + 43D + 7D2 + -6D3

Combine like terms: 6D3 + -6D3 = 0
0 = -30 + 43D + 7D2 + -6D3

Simplifying
0 = -30 + 43D + 7D2 + -6D3

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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