How do you solve for a third variable?

Question

solving for d

6x^2+2xd=3y(d+1)

Answer 1

Basically, factor it out. First thing I would do is multiply it out:

6x^2 + 2xd = 3yd + 3y

Next, get the d's on the same side:

6x^2 = 3yd + 3y - 2xd

Move anything without a d from the left:

6x^2 - 3y = 3yd - 2xd

Next, factor out the d on the right:

6x^2 - 3y = (3y - 2x)(d)

Now, simply divide both sides by (3y - 2x), thus isolating the d:

(6x^2 - 3y)/(3y - 2x) = d

And there you go. The fraction on the left doesn't simplify, I believe.

Answer 2

re-arrange

6x^2-3y=3yd-2xd

then

6x^2-3y=d(3y-2x)

d=(6x^2-3y)/(3y-2x)

Answer 3

36xsquared+2xd=3yd+3y

That's just a rough stab sorry, =P