(D^2-6D+4)y=0

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


Simplifying
(D2 + -6D + 4) * y = 0

Reorder the terms:
(4 + -6D + D2) * y = 0

Reorder the terms for easier multiplication:
y(4 + -6D + D2) = 0
(4 * y + -6D * y + D2 * y) = 0
(4y + -6yD + yD2) = 0

Solving
4y + -6yD + yD2 = 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(4 + -6D + D2) = 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 '(4 + -6D + D2)' equal to zero and attempt to solve: Simplifying 4 + -6D + D2 = 0 Solving 4 + -6D + D2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -6D + -4 + D2 = 0 + -4 Reorder the terms: 4 + -4 + -6D + D2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6D + D2 = 0 + -4 -6D + D2 = 0 + -4 Combine like terms: 0 + -4 = -4 -6D + D2 = -4 Add '6D' to each side of the equation. -6D + 6D + D2 = -4 + 6D Combine like terms: -6D + 6D = 0 0 + D2 = -4 + 6D D2 = -4 + 6D Add '-1D2' to each side of the equation. D2 + -1D2 = -4 + 6D + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -4 + 6D + -1D2 Simplifying 0 = -4 + 6D + -1D2 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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