\(\displaystyle{7}{\left({X}\right)}^{{{2}}}-{24}{X}+{9}={0}\)

\(\displaystyle{\left({7}{X}-{3}\right)}{\left({X}-{3}\right)}={0}\)

either

7 X - 3 = 0 --------- add 3 to both sides

7 X = 3 ------------- divide both sides over 7

\(\displaystyle{X}={\frac{{{3}}}{{{7}}}}\)

or

X - 3 = 0 --------- add 3 to both sides.

X = 3

answer --------- \(\displaystyle{X}={\frac{{{3}}}{{{7}}}}\) , or X = 3.

\(\displaystyle{\left({7}{X}-{3}\right)}{\left({X}-{3}\right)}={0}\)

either

7 X - 3 = 0 --------- add 3 to both sides

7 X = 3 ------------- divide both sides over 7

\(\displaystyle{X}={\frac{{{3}}}{{{7}}}}\)

or

X - 3 = 0 --------- add 3 to both sides.

X = 3

answer --------- \(\displaystyle{X}={\frac{{{3}}}{{{7}}}}\) , or X = 3.