(D(4)-5D(3)+5D(2)-5D-6)y=0

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Solution for (D(4)-5D(3)+5D(2)-5D-6)y=0 equation:


Simplifying
(D(4) + -5D(3) + 5D(2) + -5D + -6) * y = 0

Reorder the terms for easier multiplication:
(4D + -5D(3) + 5D(2) + -5D + -6) * y = 0

Reorder the terms for easier multiplication:
(4D + -5 * 3D + 5D(2) + -5D + -6) * y = 0

Multiply -5 * 3
(4D + -15D + 5D(2) + -5D + -6) * y = 0

Reorder the terms for easier multiplication:
(4D + -15D + 5 * 2D + -5D + -6) * y = 0

Multiply 5 * 2
(4D + -15D + 10D + -5D + -6) * y = 0

Reorder the terms:
(-6 + 4D + -15D + 10D + -5D) * y = 0

Combine like terms: 4D + -15D = -11D
(-6 + -11D + 10D + -5D) * y = 0

Combine like terms: -11D + 10D = -1D
(-6 + -1D + -5D) * y = 0

Combine like terms: -1D + -5D = -6D
(-6 + -6D) * y = 0

Reorder the terms for easier multiplication:
y(-6 + -6D) = 0
(-6 * y + -6D * y) = 0
(-6y + -6yD) = 0

Solving
-6y + -6yD = 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), '-6y'.
-6y(1 + D) = 0

Ignore the factor -6.

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 '(1 + D)' equal to zero and attempt to solve: Simplifying 1 + D = 0 Solving 1 + D = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + D = 0 + -1 Combine like terms: 1 + -1 = 0 0 + D = 0 + -1 D = 0 + -1 Combine like terms: 0 + -1 = -1 D = -1 Add '-1D' to each side of the equation. D + -1D = -1 + -1D Combine like terms: D + -1D = 0 0 = -1 + -1D Simplifying 0 = -1 + -1D 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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