s^2+11sd+28d^2=0

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Solution for s^2+11sd+28d^2=0 equation: 


Simplifying
s2 + 11sd + 28d2 = 0

Reorder the terms:
11ds + 28d2 + s2 = 0

Solving
11ds + 28d2 + s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(7d + s)(4d + 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 '(4d + s)' equal to zero and attempt to solve:

Simplifying
4d + s = 0

Solving
4d + s = 0

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

Add '-1s' to each side of the equation.
4d + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
4d + 0 = 0 + -1s
4d = 0 + -1s
Remove the zero:
4d = -1s

Divide each side by '4'.
d = -0.25s

Simplifying
d = -0.25s
Solution
d = {-0.1428571429s, -0.25s}

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