Question

Solve:
$(x+2)(2x-1)+\left(3\right)=0$

Answer 1

Given $(x+2)(2x-1)+3=0$

$\Rightarrow 2x^2-x+4x-2+3$

$\Rightarrow 2x^2+3x+1$

$\Rightarrow 2x^2+2x+x+1$

$\Rightarrow 2x(x+1)+1(x+1)$

$\Rightarrow (2x+1)(x+1)$

$\Rightarrow$$2x+1=0$ ;$x+1=0$

$\Rightarrow$$2x=-1$ ; $x=-1$

$\Rightarrow$$x=-\frac{1}{2}$ ; $x=-1$