6ds-187s^2+d^2=0

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Solution for 6ds-187s^2+d^2=0 equation: 


Simplifying
6ds + -187s2 + d2 = 0

Reorder the terms:
6ds + d2 + -187s2 = 0

Solving
6ds + d2 + -187s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(d + -11s)(d + 17s) = 0


Subproblem 1
Set the factor '(d + -11s)' equal to zero and attempt to solve:

Simplifying
d + -11s = 0

Solving
d + -11s = 0

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

Add '11s' to each side of the equation.
d + -11s + 11s = 0 + 11s

Combine like terms: -11s + 11s = 0
d + 0 = 0 + 11s
d = 0 + 11s
Remove the zero:
d = 11s

Simplifying
d = 11s

Subproblem 2
Set the factor '(d + 17s)' equal to zero and attempt to solve:

Simplifying
d + 17s = 0

Solving
d + 17s = 0

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

Add '-17s' to each side of the equation.
d + 17s + -17s = 0 + -17s

Combine like terms: 17s + -17s = 0
d + 0 = 0 + -17s
d = 0 + -17s
Remove the zero:
d = -17s

Simplifying
d = -17s
Solution
d = {11s, -17s}

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