Answer
{$\dfrac{1}{3},7$}
Work Step by Step
Given: $3x^2=22x-7$
or, $3x^2-22x+7=0$
Factorize the quadratic equation as follows:
$3x^2-21x-x+7=0$
or, $(3x-1)(x-7)=0$
Now, $(3x-1)=0$ and $(x-7)=0$
Solution set: $x=${$\dfrac{1}{3},7$}