Question

$5x(x+2)=3$

Answer 1

$5x(x+2)=3$

$5x\left(x\right)+5x\left(2\right)=3$

$5x^2+10x=3$

$5x^2+10x-3=0$

Here,

$a=5,b=10,c=-3$

Now, by quadratic formula, we have

$x=\frac{-10\pm \sqrt{{\left(10\right)}^2-(4\times \left(5\right)\times (-3))}}{2\times 5}$

$\Rightarrow x=\frac{-10\pm \sqrt{100+60}}{10}$

$\Rightarrow x=\frac{-10\pm 4\sqrt{10}}{10}$

$\Rightarrow x=\frac{-5\pm 2\sqrt{10}}{5}$

Hence for the given expression,

$x=\frac{-5\pm 2\sqrt{10}}{5}$.