My algebra is very rusty, it's been about 15years since I studied, and I was stumped recently when trying to rearrange this formula;
$$a = b^2 + 2b^2(1 - b)$$
to give $b$ in terms of $a$.
Can someone show me step by step working please :)
I remember 'change side, change sign' but it all gets very confusing very quickly.
$$2b^2(1-b)\Rightarrow 2b^2 - 2b^3$$
$$a = b^2 + 2b^2 - 2b^3$$
$$a = 3b^2 - 2b^3$$
$$a + 2b^3 - 3b^2 = 0$$
is this right so far?