2d^2-de-e^2=0

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


Simplifying
2d2 + -1de + -1e2 = 0

Reorder the terms:
-1de + 2d2 + -1e2 = 0

Solving
-1de + 2d2 + -1e2 = 0

Solving for variable 'd'.

Factor a trinomial.
(d + -1e)(2d + e) = 0


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

Simplifying
d + -1e = 0

Solving
d + -1e = 0

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

Add 'e' to each side of the equation.
d + -1e + e = 0 + e

Combine like terms: -1e + e = 0
d + 0 = 0 + e
d = 0 + e
Remove the zero:
d = e

Simplifying
d = e

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

Simplifying
2d + e = 0

Solving
2d + e = 0

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

Add '-1e' to each side of the equation.
2d + e + -1e = 0 + -1e

Combine like terms: e + -1e = 0
2d + 0 = 0 + -1e
2d = 0 + -1e
Remove the zero:
2d = -1e

Divide each side by '2'.
d = -0.5e

Simplifying
d = -0.5e
Solution
d = {e, -0.5e}

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