(D^2-4D+20)y=0

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Solution for (D^2-4D+20)y=0 equation:


Simplifying
(D2 + -4D + 20) * y = 0

Reorder the terms:
(20 + -4D + D2) * y = 0

Reorder the terms for easier multiplication:
y(20 + -4D + D2) = 0
(20 * y + -4D * y + D2 * y) = 0
(20y + -4yD + yD2) = 0

Solving
20y + -4yD + 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(20 + -4D + 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 '(20 + -4D + D2)' equal to zero and attempt to solve: Simplifying 20 + -4D + D2 = 0 Solving 20 + -4D + D2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -4D + -20 + D2 = 0 + -20 Reorder the terms: 20 + -20 + -4D + D2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4D + D2 = 0 + -20 -4D + D2 = 0 + -20 Combine like terms: 0 + -20 = -20 -4D + D2 = -20 Add '4D' to each side of the equation. -4D + 4D + D2 = -20 + 4D Combine like terms: -4D + 4D = 0 0 + D2 = -20 + 4D D2 = -20 + 4D Add '-1D2' to each side of the equation. D2 + -1D2 = -20 + 4D + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -20 + 4D + -1D2 Simplifying 0 = -20 + 4D + -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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