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

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


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

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

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

Multiply elosv * y
elosvy(6 + 4D + D2) = 0
(6 * elosvy + 4D * elosvy + D2 * elosvy) = 0
(6elosvy + 4elosvyD + elosvyD2) = 0

Solving
6elosvy + 4elosvyD + elosvyD2 = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), 'elosvy'.
elosvy(6 + 4D + D2) = 0

Subproblem 1

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