0=x2+14x+48

Solution for 0=x2+14x+48 equation:

0=x2+14x+48

We move all terms to the left:

0-(x2+14x+48)=0

We add all the numbers together, and all the variables

-(+x^2+14x+48)+0=0

We add all the numbers together, and all the variables

-(+x^2+14x+48)=0

We get rid of parentheses

-x^2-14x-48=0

We add all the numbers together, and all the variables

-1x^2-14x-48=0

a = -1; b = -14; c = -48;
Δ = b2-4ac
Δ = -142-4·(-1)·(-48)
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{-(-14)-2}{2*-1}=\frac{12}{-2}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2}{2*-1}=\frac{16}{-2}
=-8
$