0.6n(n+10)=3.6

Solution for 0.6n(n+10)=3.6 equation:

0.6n(n+10)=3.6

We move all terms to the left:

0.6n(n+10)-(3.6)=0

We add all the numbers together, and all the variables

0.6n(n+10)-3.6=0

We multiply parentheses

0n^2+0n-3.6=0

We add all the numbers together, and all the variables

n^2+n-3.6=0

a = 1; b = 1; c = -3.6;
Δ = b2-4ac
Δ = 12-4·1·(-3.6)
Δ = 15.4
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{-(1)-\sqrt{15.4}}{2*1}=\frac{-1-\sqrt{15.4}}{2}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{15.4}}{2*1}=\frac{-1+\sqrt{15.4}}{2}
$