4s*5s/8=10

Solution for 4s*5s/8=10 equation:

4s*5s/8=10

We move all terms to the left:

4s*5s/8-(10)=0

We multiply all the terms by the denominator


4s*5s-10*8=0

We add all the numbers together, and all the variables

4s*5s-80=0

Wy multiply elements

20s^2-80=0

a = 20; b = 0; c = -80;
Δ = b2-4ac
Δ = 02-4·20·(-80)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*20}=\frac{-80}{40}
=-2
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*20}=\frac{80}{40}
=2
$