a(a-8)+16=2a

Solution for a(a-8)+16=2a equation:

a(a-8)+16=2a

We move all terms to the left:

a(a-8)+16-(2a)=0

We add all the numbers together, and all the variables

-2a+a(a-8)+16=0

We multiply parentheses

a^2-2a-8a+16=0

We add all the numbers together, and all the variables

a^2-10a+16=0

a = 1; b = -10; c = +16;
Δ = b2-4ac
Δ = -102-4·1·16
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-6}{2*1}=\frac{4}{2}
=2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+6}{2*1}=\frac{16}{2}
=8
$