0.64=0.0625s^2

Solution for 0.64=0.0625s^2 equation:

0.64=0.0625s^2

We move all terms to the left:

0.64-(0.0625s^2)=0

We get rid of parentheses

-0.0625s^2+0.64=0

a = -0.0625; b = 0; c = +0.64;
Δ = b2-4ac
Δ = 02-4·(-0.0625)·0.64
Δ = 0.16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{0.16}}{2*-0.0625}=\frac{0-\sqrt{0.16}}{-0.125}
=-\frac{\sqrt{}}{-0.125}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.16}}{2*-0.0625}=\frac{0+\sqrt{0.16}}{-0.125}
=\frac{\sqrt{}}{-0.125}
$