Question

solve 7m+4/m+2=-4/3​

Answer 1

Answer:

7m+4/m+2=-4/3

=> 3(7m+4) = -4(m+2)

=> 21m + 12 = -4m -8

=> 21m+4m = -8-12

=> 25m = -20

=> m = -20/25

=> m = -4/5

Answer 2

Answer:

m=-0.598081,-1.5924

Step-by-step explanation:

$7m+\frac{4}{m+2}=-\frac{-4}{3}\\7m^{2}+14m+4=-\frac{-4m-8}{3}\\\\21m^{2}+42m+12=-4m-8\\21m^{2}+42m+12+4m+8=0\\21m^{2}+46m+20=0$

Using Quadratic Formula:

$m=\frac{-b+\sqrt{b^{2}-4ac}}{2a},m=\frac{-b-\sqrt{b^{2}-4ac}}{2a}\\m=\frac{-46+\sqrt{436}}{42},\frac{-46+\sqrt{436}}{42}\\m=-0.598081,-1.5924$