Rearranging Formulae

To rearrange a formula, it is required that you group variables in certain ways, to leave you with the desired form.

For example,

Rearrange y=3x^2+3 to make x the subject.

Firstly, we want to isolate the x, and try and work out how we can get it to become just x on its own.

To do this, first subtract all the constants from the right hand side of the equation:

y-3 = 3x^2

Now manipulate the left hand side to leave you with x:

x^2 = (y-3)/3

x = ((y-3)/3)^(1/2)