Question

solve the following equation 7x+4/x+2=-4/3​

Answer 1

Answer:

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

We move all terms to the left:

7x+4/x+2-(-4/3)=0

Domain of the equation: x!=0

x∈R

We get rid of parentheses

7x+4/x+2+4/3=0

We calculate fractions

There is no solution for this equation

Answer 2

Answer:

Step-by-step explanation:

$7x+\frac{4}{x} +2= \frac{-4}{3}$

$\frac{7x^{2}+4+2x }{x} = \frac{-4}{3}$

${7x^{2}+4+2x } = \frac{-4}{3} x$

$7x^{2} +4=\frac{-4}{3} x - 2x\\7x^{2} +4=\frac{-4x-6x}{3}\\7x^{2} +4=\frac{-10x}{3} \\3(7x^{2} +4)=-10x\\21x^{2} +12=-10x\\21x^{2} +10x+12=0$

∴ using quadratic formula we can find the value of x