X^2+DX-2D^2=0

Solution for X^2+DX-2D^2=0 equation:

Simplifying
X2 + DX + -2D2 = 0

Reorder the terms:
DX + -2D2 + X2 = 0

Solving
DX + -2D2 + X2 = 0

Solving for variable 'D'.

Factor a trinomial.
(-2D + -1X)(D + -1X) = 0

Subproblem 1
Set the factor '(-2D + -1X)' equal to zero and attempt to solve:

Simplifying
-2D + -1X = 0

Solving
-2D + -1X = 0

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

Add 'X' to each side of the equation.
-2D + -1X + X = 0 + X

Combine like terms: -1X + X = 0
-2D + 0 = 0 + X
-2D = 0 + X
Remove the zero:
-2D = X

Divide each side by '-2'.
D = -0.5X

Simplifying
D = -0.5X
Subproblem 2
Set the factor '(D + -1X)' equal to zero and attempt to solve:

Simplifying
D + -1X = 0

Solving
D + -1X = 0

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

Add 'X' to each side of the equation.
D + -1X + X = 0 + X

Combine like terms: -1X + X = 0
D + 0 = 0 + X
D = 0 + X
Remove the zero:
D = X

Simplifying
D = X
Solution
D = {-0.5X, X}