Math factorizing

Rearrange (7x+10)/(9x+5) = 3z² + 2 to make x the subject.

Hi,
The answer for this one is:
15z²/(7-9(3z² + 2))
What are the steps to solve?

Thanks!

Hey! In this type of questions which look terrifying at first glance, just dive into solving those mad long equations with all your math knowledge

So here is how you could do it

(7x+10)/(9x+5)=3z²+2

(7x+10)=(3z²+2)*(9x)+15z²+10

7x-(3z²+2)*(9x)=15z²

x[7-(3z²+2)*9]=15z²
*the rest is evident

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