2s^2+11sd-63d^2=0

Solution for 2s^2+11sd-63d^2=0 equation:

Simplifying
2s2 + 11sd + -63d2 = 0

Reorder the terms:
11ds + -63d2 + 2s2 = 0

Solving
11ds + -63d2 + 2s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-9d + -1s)(7d + -2s) = 0

Subproblem 1
Set the factor '(-9d + -1s)' equal to zero and attempt to solve:

Simplifying
-9d + -1s = 0

Solving
-9d + -1s = 0

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

Add 's' to each side of the equation.
-9d + -1s + s = 0 + s

Combine like terms: -1s + s = 0
-9d + 0 = 0 + s
-9d = 0 + s
Remove the zero:
-9d = s

Divide each side by '-9'.
d = -0.1111111111s

Simplifying
d = -0.1111111111s
Subproblem 2
Set the factor '(7d + -2s)' equal to zero and attempt to solve:

Simplifying
7d + -2s = 0

Solving
7d + -2s = 0

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

Add '2s' to each side of the equation.
7d + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
7d + 0 = 0 + 2s
7d = 0 + 2s
Remove the zero:
7d = 2s

Divide each side by '7'.
d = 0.2857142857s

Simplifying
d = 0.2857142857s
Solution
d = {-0.1111111111s, 0.2857142857s}