0.16d^2=100

Solution for 0.16d^2=100 equation:

0.16d^2=100

We move all terms to the left:

0.16d^2-(100)=0

a = 0.16; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·0.16·(-100)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8}{2*0.16}=\frac{-8}{0.32}
=-25
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8}{2*0.16}=\frac{8}{0.32}
=25
$