67=5s*2s+s

Solution for 67=5s*2s+s equation:

67=5s*2s+s

We move all terms to the left:

67-(5s*2s+s)=0

We add all the numbers together, and all the variables

-(+s+5s*2s)+67=0

We get rid of parentheses

-s-5s*2s+67=0

We add all the numbers together, and all the variables

-1s-5s*2s+67=0

Wy multiply elements

-10s^2-1s+67=0

a = -10; b = -1; c = +67;
Δ = b2-4ac
Δ = -12-4·(-10)·67
Δ = 2681
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{-(-1)-\sqrt{2681}}{2*-10}=\frac{1-\sqrt{2681}}{-20}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{2681}}{2*-10}=\frac{1+\sqrt{2681}}{-20}
$