Question

2x=4 - 3/x+2

???

Answer 1

multiply each term by (x+2) to get rid of the denominator in the fraction

\[2x(x+2) = 4(x+2) - 3\]

this can be simplified to

\[2x^2 + 4x = 4x + 8 - 3\]

rewrite the equation

\[2x^2 = 5\]

now solving for x

divide by 2

\[x^2 = \frac{5}{2}\]

take the square root of both sides

\[x = \pm \sqrt{\frac{5}{2}}\]