Question

16J^2-24J

The expression was rewrote K(2J-3)
create an expression for K in terms of J

Answer 1

Start from 16J^2 − 24J. Factor a common term:

16J^2 − 24J = 8J(2J − 3).

So K(2J − 3) = 8J(2J − 3). If 2J − 3 ≠ 0, divide both sides by (2J − 3) to get

K = 8J.

If 2J − 3 = 0 (J = 3/2), then both sides are 0 and K can be any value.