Question

Thirty times the square of a non-zero number is equal to eight times the number. what is the number?

Answer 1

Hello,

let x the unknowed number,

30*x²=8*x
==> 30x=8 (for x ≠0)
==>x=8/30
==>x=4/15

Confusion dans la traduction mentale désolé.

Answer 2

You said that 30 x² = 8 x

I can divide
each side by 'x': 30 x = 8

Then divide
each side by 30: x = 8 / 30 = 4/15 .

Check to see if it works:

Does 30 (4/15)² = 8 (4/15) ?

Well, (4/15)² = 16/225

30 · 16/225 = 480/225 = 32/15
and
8 · 4/15 = 32/15 yay !