Eliza Berry

2023-03-14

Solve the following quadratic equations by factorization:$9{x}^{2}-3x-2=0$

stunaire2dt

We have been given,
$9{x}^{2}-3x-2=0$
$9{x}^{2}-6x+3x-2=0\phantom{\rule{0ex}{0ex}}3x\left(3x-2\right)+1\left(3x-2\right)=0\phantom{\rule{0ex}{0ex}}\left(3x+1\right)\left(3x-2\right)=0$
Thus,
$3x+1=0\phantom{\rule{0ex}{0ex}}3x=-1\phantom{\rule{0ex}{0ex}}x=\frac{-1}{3}$
or,
$3x-2=0\phantom{\rule{0ex}{0ex}}3x=2\phantom{\rule{0ex}{0ex}}x=\frac{2}{3}$
Thus,

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