t^2-4td-45d^2=

Solution for t^2-4td-45d^2= equation:

Simplifying
t2 + -4td + -45d2 = 0

Reorder the terms:
-4dt + -45d2 + t2 = 0

Solving
-4dt + -45d2 + t2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-5d + -1t)(9d + -1t) = 0

Subproblem 1
Set the factor '(-5d + -1t)' equal to zero and attempt to solve:

Simplifying
-5d + -1t = 0

Solving
-5d + -1t = 0

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

Add 't' to each side of the equation.
-5d + -1t + t = 0 + t

Combine like terms: -1t + t = 0
-5d + 0 = 0 + t
-5d = 0 + t
Remove the zero:
-5d = t

Divide each side by '-5'.
d = -0.2t

Simplifying
d = -0.2t
Subproblem 2
Set the factor '(9d + -1t)' equal to zero and attempt to solve:

Simplifying
9d + -1t = 0

Solving
9d + -1t = 0

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

Add 't' to each side of the equation.
9d + -1t + t = 0 + t

Combine like terms: -1t + t = 0
9d + 0 = 0 + t
9d = 0 + t
Remove the zero:
9d = t

Divide each side by '9'.
d = 0.1111111111t

Simplifying
d = 0.1111111111t
Solution
d = {-0.2t, 0.1111111111t}