Question

(3x-1)(x+3)=(2-x)(5-3x)

Answer 1

\(\left(3x-1\right)\left(x+3\right)=\left(2-x\right)\left(5-3x\right)\)

\(\Leftrightarrow3x^2+8x-3=10-11x+3x^2\)

\(\Leftrightarrow19x=13\)

\(\Leftrightarrow x=\dfrac{13}{19}\)

\(\Rightarrow S=\left\{\dfrac{13}{19}\right\}\)

Answer 2

\(\left(3x-1\right)\left(x+3\right)=\left(2-x\right)\left(5-3x\right)\)

\(\Leftrightarrow\left(3x-1\right)\left(x+3\right)-\left(2-x\right)\left(5-3x\right)=0\)

\(\Leftrightarrow3x^2+8x-3-10+11x-3x^2=0\)

\(\Leftrightarrow19x-13=0\Leftrightarrow19x=13\Leftrightarrow x=\dfrac{13}{19}\)

Vậy, \(S=\left\{\dfrac{13}{19}\right\}\)