(d^4-4d^3+11d^2-14d+12)y=0

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Solution for (d^4-4d^3+11d^2-14d+12)y=0 equation: 


Simplifying
(d4 + -4d3 + 11d2 + -14d + 12) * y = 0

Reorder the terms:
(12 + -14d + 11d2 + -4d3 + d4) * y = 0

Reorder the terms for easier multiplication:
y(12 + -14d + 11d2 + -4d3 + d4) = 0
(12 * y + -14d * y + 11d2 * y + -4d3 * y + d4 * y) = 0

Reorder the terms:
(-14dy + 11d2y + -4d3y + d4y + 12y) = 0
(-14dy + 11d2y + -4d3y + d4y + 12y) = 0

Solving
-14dy + 11d2y + -4d3y + d4y + 12y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-14d + 11d2 + -4d3 + d4 + 12) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-14d + 11d2 + -4d3 + d4 + 12)' equal to zero and attempt to solve:

Simplifying
-14d + 11d2 + -4d3 + d4 + 12 = 0

Reorder the terms:
12 + -14d + 11d2 + -4d3 + d4 = 0

Solving
12 + -14d + 11d2 + -4d3 + d4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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