(x+2)(x+1)=2-3x

Solution for (x+2)(x+1)=2-3x equation:

(x+2)(x+1)=2-3x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We multiply parentheses ..

(+x^2+x+2x+2)+3x-2=0

We get rid of parentheses

x^2+x+2x+3x+2-2=0

We add all the numbers together, and all the variables

x^2+6x=0

a = 1; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·1·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*1}=\frac{-12}{2}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*1}=\frac{0}{2}
=0
$