Question

solve for the quadratic equation 4/x-3=5/2x+3

Answer 1

It is given that,

4/x-3 = 5/2x+3

4(2x+3) = 5(x-3)

8x +12 = 5x-15

8x-5x = 12+15

3x = 27

x = 9

Hope it will help you

Answer 2

$\huge\bold\purple{Answer}$

$\frac{4}{x - 3}$ = $\frac{5}{2x + 3}$

$\large\underline\mathfrak\green{ʙʏ\;ᴜsɪɴɢ\;ᴄʀᴏss\;ᴍᴜʟᴛɪᴘɪʟɪᴄᴀᴛɪᴏɴ\;ᴍᴇᴛʜᴏᴅ:}$

(2x + 3)4 = (x − 3)5

8x + 12 = 5x − 15

8x − 5x = −15 − 12

3x = −27

x=$\frac{-27}{3}$

$\large\fbox\blue{x = -9}$