# 7x^{2}-24x+9=0

$$\displaystyle{7}{x}^{{{2}}}-{24}{x}+{9}={0}$$

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$$\displaystyle{7}{\left({X}\right)}^{{{2}}}-{24}{X}+{9}={0}$$
$$\displaystyle{\left({7}{X}-{3}\right)}{\left({X}-{3}\right)}={0}$$
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.