96e^2+22de+d^2=

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Solution for 96e^2+22de+d^2= equation: 


Simplifying
96e2 + 22de + d2 = 0

Reorder the terms:
22de + d2 + 96e2 = 0

Solving
22de + d2 + 96e2 = 0

Solving for variable 'd'.

Factor a trinomial.
(d + 6e)(d + 16e) = 0


Subproblem 1
Set the factor '(d + 6e)' equal to zero and attempt to solve:

Simplifying
d + 6e = 0

Solving
d + 6e = 0

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

Add '-6e' to each side of the equation.
d + 6e + -6e = 0 + -6e

Combine like terms: 6e + -6e = 0
d + 0 = 0 + -6e
d = 0 + -6e
Remove the zero:
d = -6e

Simplifying
d = -6e

Subproblem 2
Set the factor '(d + 16e)' equal to zero and attempt to solve:

Simplifying
d + 16e = 0

Solving
d + 16e = 0

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

Add '-16e' to each side of the equation.
d + 16e + -16e = 0 + -16e

Combine like terms: 16e + -16e = 0
d + 0 = 0 + -16e
d = 0 + -16e
Remove the zero:
d = -16e

Simplifying
d = -16e
Solution
d = {-6e, -16e}

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