(d^4+4d^3+8d^2+4d+4)y=0

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Solution for (d^4+4d^3+8d^2+4d+4)y=0 equation:


Simplifying
(d4 + 4d3 + 8d2 + 4d + 4) * y = 0

Reorder the terms:
(4 + 4d + 8d2 + 4d3 + d4) * y = 0

Reorder the terms for easier multiplication:
y(4 + 4d + 8d2 + 4d3 + d4) = 0
(4 * y + 4d * y + 8d2 * y + 4d3 * y + d4 * y) = 0

Reorder the terms:
(4dy + 8d2y + 4d3y + d4y + 4y) = 0
(4dy + 8d2y + 4d3y + d4y + 4y) = 0

Solving
4dy + 8d2y + 4d3y + d4y + 4y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(4d + 8d2 + 4d3 + d4 + 4) = 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 '(4d + 8d2 + 4d3 + d4 + 4)' equal to zero and attempt to solve: Simplifying 4d + 8d2 + 4d3 + d4 + 4 = 0 Reorder the terms: 4 + 4d + 8d2 + 4d3 + d4 = 0 Solving 4 + 4d + 8d2 + 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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