Question

$\frac{5}{3x+2}$ = 2x - 1   [ phương trình chứa ẩn ở mẫu]

Answer 1

\(\dfrac{5}{3x+2}=2x-1\)

\(\Leftrightarrow\dfrac{5}{3x+2}=\dfrac{\left(3x+2\right)\left(2x-1\right)}{3x+2}\)

\(\Leftrightarrow5=\left(3x+2\right)\left(2x-1\right)\)

\(\Leftrightarrow5=6x^2-3x+4x-2\)

\(\Leftrightarrow5=6x^2+x-2\)

\(\Leftrightarrow6x^2+x=7\)

\(\Leftrightarrow x=1\)