d^2+9de+20e^2=0

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Solution for d^2+9de+20e^2=0 equation: 


Simplifying
d2 + 9de + 20e2 = 0

Reorder the terms:
9de + d2 + 20e2 = 0

Solving
9de + d2 + 20e2 = 0

Solving for variable 'd'.

Factor a trinomial.
(d + 4e)(d + 5e) = 0


Subproblem 1
Set the factor '(d + 4e)' equal to zero and attempt to solve:

Simplifying
d + 4e = 0

Solving
d + 4e = 0

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

Add '-4e' to each side of the equation.
d + 4e + -4e = 0 + -4e

Combine like terms: 4e + -4e = 0
d + 0 = 0 + -4e
d = 0 + -4e
Remove the zero:
d = -4e

Simplifying
d = -4e

Subproblem 2
Set the factor '(d + 5e)' equal to zero and attempt to solve:

Simplifying
d + 5e = 0

Solving
d + 5e = 0

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

Add '-5e' to each side of the equation.
d + 5e + -5e = 0 + -5e

Combine like terms: 5e + -5e = 0
d + 0 = 0 + -5e
d = 0 + -5e
Remove the zero:
d = -5e

Simplifying
d = -5e
Solution
d = {-4e, -5e}

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