t^2-10td+16d^2=

Solution for t^2-10td+16d^2= equation:

Simplifying
t2 + -10td + 16d2 = 0

Reorder the terms:
-10dt + 16d2 + t2 = 0

Solving
-10dt + 16d2 + t2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2d + -1t)(8d + -1t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8d + -1t)' equal to zero and attempt to solve:

Simplifying
8d + -1t = 0

Solving
8d + -1t = 0

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

Add 't' to each side of the equation.
8d + -1t + t = 0 + t

Combine like terms: -1t + t = 0
8d + 0 = 0 + t
8d = 0 + t
Remove the zero:
8d = t

Divide each side by '8'.
d = 0.125t

Simplifying
d = 0.125t
Solution
d = {0.5t, 0.125t}