5d^2=-6d=8

Solution for 5d^2=-6d=8 equation:

5d^2=-6d=8

We move all terms to the left:

5d^2-(-6d)=0

We get rid of parentheses

5d^2+6d=0

a = 5; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·5·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*5}=\frac{-12}{10}
=-1+1/5
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*5}=\frac{0}{10}
=0
$