8a^2=26a-20

Solution for 8a^2=26a-20 equation:

8a^2=26a-20

We move all terms to the left:

8a^2-(26a-20)=0

We get rid of parentheses

8a^2-26a+20=0

a = 8; b = -26; c = +20;
Δ = b2-4ac
Δ = -262-4·8·20
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{-(-26)-6}{2*8}=\frac{20}{16}
=1+1/4
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+6}{2*8}=\frac{32}{16}
=2
$