s^2+13sd+42d^2=

Solution for s^2+13sd+42d^2= equation:

Simplifying
s2 + 13sd + 42d2 = 0

Reorder the terms:
13ds + 42d2 + s2 = 0

Solving
13ds + 42d2 + s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(7d + s)(6d + s) = 0

Subproblem 1
Set the factor '(7d + s)' equal to zero and attempt to solve:

Simplifying
7d + s = 0

Solving
7d + s = 0

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

Add '-1s' to each side of the equation.
7d + s + -1s = 0 + -1s

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

Divide each side by '7'.
d = -0.1428571429s

Simplifying
d = -0.1428571429s
Subproblem 2
Set the factor '(6d + s)' equal to zero and attempt to solve:

Simplifying
6d + s = 0

Solving
6d + s = 0

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

Add '-1s' to each side of the equation.
6d + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
6d + 0 = 0 + -1s
6d = 0 + -1s
Remove the zero:
6d = -1s

Divide each side by '6'.
d = -0.1666666667s

Simplifying
d = -0.1666666667s
Solution
d = {-0.1428571429s, -0.1666666667s}