Question:
$6 x^{2}+11 x+3=0$
Solution:
Given :
$6 x^{2}+11 x+3=0$
$\Rightarrow 6 x^{2}+9 x+2 x+3=0$
$\Rightarrow 3 x(2 x+3)+1(2 x+3)=0$
$\Rightarrow(3 x+1)(2 x+3)=0$
$\Rightarrow 3 x+1=0$ or $2 x+3=0$
$\Rightarrow x=\frac{-1}{3}$ or $x=\frac{-3}{2}$
Hence, $\frac{-1}{3}$ and $\frac{-3}{2}$ are the roots of the equation $6 x^{2}+11 x+3=0$.
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