y=y2+8y+6

Solution for y=y2+8y+6 equation:

y=y2+8y+6

We move all terms to the left:

y-(y2+8y+6)=0

We add all the numbers together, and all the variables

-(+y^2+8y+6)+y=0

We get rid of parentheses

-y^2-8y+y-6=0

We add all the numbers together, and all the variables

-1y^2-7y-6=0

a = -1; b = -7; c = -6;
Δ = b2-4ac
Δ = -72-4·(-1)·(-6)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-5}{2*-1}=\frac{2}{-2}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+5}{2*-1}=\frac{12}{-2}
=-6
$