t^2-td-2d^2=

Solution for t^2-td-2d^2= equation:

Simplifying
t2 + -1td + -2d2 = 0

Reorder the terms:
-1dt + -2d2 + t2 = 0

Solving
-1dt + -2d2 + t2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(-1d + -1t)' equal to zero and attempt to solve:

Simplifying
-1d + -1t = 0

Solving
-1d + -1t = 0

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

Add 't' to each side of the equation.
-1d + -1t + t = 0 + t

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

Divide each side by '-1'.
d = -1t

Simplifying
d = -1t
Subproblem 2
Set the factor '(2d + -1t)' equal to zero and attempt to solve:

Simplifying
2d + -1t = 0

Solving
2d + -1t = 0

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

Add 't' to each side of the equation.
2d + -1t + t = 0 + t

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

Divide each side by '2'.
d = 0.5t

Simplifying
d = 0.5t
Solution
d = {-1t, 0.5t}