10s^2-29sd+10d^2=

Solution for 10s^2-29sd+10d^2= equation:

Simplifying
10s2 + -29sd + 10d2 = 0

Reorder the terms:
-29ds + 10d2 + 10s2 = 0

Solving
-29ds + 10d2 + 10s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2d + -5s)(5d + -2s) = 0

Subproblem 1
Set the factor '(2d + -5s)' equal to zero and attempt to solve:

Simplifying
2d + -5s = 0

Solving
2d + -5s = 0

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

Add '5s' to each side of the equation.
2d + -5s + 5s = 0 + 5s

Combine like terms: -5s + 5s = 0
2d + 0 = 0 + 5s
2d = 0 + 5s
Remove the zero:
2d = 5s

Divide each side by '2'.
d = 2.5s

Simplifying
d = 2.5s
Subproblem 2
Set the factor '(5d + -2s)' equal to zero and attempt to solve:

Simplifying
5d + -2s = 0

Solving
5d + -2s = 0

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

Add '2s' to each side of the equation.
5d + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
5d + 0 = 0 + 2s
5d = 0 + 2s
Remove the zero:
5d = 2s

Divide each side by '5'.
d = 0.4s

Simplifying
d = 0.4s
Solution
d = {2.5s, 0.4s}