0.5n+12n*1.5n=28

Solution for 0.5n+12n*1.5n=28 equation:

0.5n+12n*1.5n=28

We move all terms to the left:

0.5n+12n*1.5n-(28)=0

Wy multiply elements

12n^2+0.5n-28=0

a = 12; b = 0.5; c = -28;
Δ = b2-4ac
Δ = 0.52-4·12·(-28)
Δ = 1344.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.5)-\sqrt{1344.25}}{2*12}=\frac{-0.5-\sqrt{1344.25}}{24}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.5)+\sqrt{1344.25}}{2*12}=\frac{-0.5+\sqrt{1344.25}}{24}
$