d^2-19de+48e^2=0

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Solution for d^2-19de+48e^2=0 equation: 


Simplifying
d2 + -19de + 48e2 = 0

Reorder the terms:
-19de + d2 + 48e2 = 0

Solving
-19de + d2 + 48e2 = 0

Solving for variable 'd'.

Factor a trinomial.
(d + -16e)(d + -3e) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(d + -3e)' equal to zero and attempt to solve:

Simplifying
d + -3e = 0

Solving
d + -3e = 0

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

Add '3e' to each side of the equation.
d + -3e + 3e = 0 + 3e

Combine like terms: -3e + 3e = 0
d + 0 = 0 + 3e
d = 0 + 3e
Remove the zero:
d = 3e

Simplifying
d = 3e
Solution
d = {16e, 3e}

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