0=x2+11x+28

Solution for 0=x2+11x+28 equation:

0=x2+11x+28

We move all terms to the left:

0-(x2+11x+28)=0

We add all the numbers together, and all the variables

-(+x^2+11x+28)+0=0

We add all the numbers together, and all the variables

-(+x^2+11x+28)=0

We get rid of parentheses

-x^2-11x-28=0

We add all the numbers together, and all the variables

-1x^2-11x-28=0

a = -1; b = -11; c = -28;
Δ = b2-4ac
Δ = -112-4·(-1)·(-28)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-3}{2*-1}=\frac{8}{-2}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+3}{2*-1}=\frac{14}{-2}
=-7
$