0=w2+8w+7

Solution for 0=w2+8w+7 equation:

0=w2+8w+7

We move all terms to the left:

0-(w2+8w+7)=0

We add all the numbers together, and all the variables

-(+w^2+8w+7)+0=0

We add all the numbers together, and all the variables

-(+w^2+8w+7)=0

We get rid of parentheses

-w^2-8w-7=0

We add all the numbers together, and all the variables

-1w^2-8w-7=0

a = -1; b = -8; c = -7;
Δ = b2-4ac
Δ = -82-4·(-1)·(-7)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-6}{2*-1}=\frac{2}{-2}
=-1
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+6}{2*-1}=\frac{14}{-2}
=-7
$