(2x+2)(2x+1)=

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

(2x+2)(2x+1)=

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses ..

(+4x^2+2x+4x+2)=0

We get rid of parentheses

4x^2+2x+4x+2=0

We add all the numbers together, and all the variables

4x^2+6x+2=0

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

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2}{2*4}=\frac{-8}{8}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2}{2*4}=\frac{-4}{8}
=-1/2
$