t^2+15td+56d^2=

Solution for t^2+15td+56d^2= equation:

Simplifying
t2 + 15td + 56d2 = 0

Reorder the terms:
15dt + 56d2 + t2 = 0

Solving
15dt + 56d2 + t2 = 0

Solving for variable 'd'.

Factor a trinomial.
(8d + t)(7d + t) = 0

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

Simplifying
8d + t = 0

Solving
8d + t = 0

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

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

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

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

Simplifying
d = -0.125t
Subproblem 2
Set the factor '(7d + t)' equal to zero and attempt to solve:

Simplifying
7d + t = 0

Solving
7d + t = 0

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

Add '-1t' to each side of the equation.
7d + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
7d + 0 = 0 + -1t
7d = 0 + -1t
Remove the zero:
7d = -1t

Divide each side by '7'.
d = -0.1428571429t

Simplifying
d = -0.1428571429t
Solution
d = {-0.125t, -0.1428571429t}