Question:
$4-11 x=3 x^{2}$
Solution:
Given:
$4-11 x=3 x^{2}$
$\Rightarrow 3 x^{2}+11 x-4=0$
$\Rightarrow 3 x^{2}+12 x-x-4=0$
$\Rightarrow 3 x(x+4)-1(x+4)=0$
$\Rightarrow(x+4)(3 x-1)=0$
$\Rightarrow x+4=0$ or $3 x-1=0$
$\Rightarrow x=-4$ or $x=\frac{1}{3}$
Hence, the roots of the equation are $-4$ and $\frac{1}{3}$.
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