How to solve z+6/z-9=11/-10
z = 79/20-sqrt(3841)/20 and z = 79/20+sqrt(3841)/20
Assuming we have
[z+6]/[z-9]= [ - 11] / [10] cross multiply
10[z + 6] = -11[z - 9] simplify
10z + 60 = 99 - 11z add 11z to both sides subtract 60 from both sides
21z = 39 divide both sides by 21
z = 39/21 = 13/7