12n^2-26n=30

Solution for 12n^2-26n=30 equation:

12n^2-26n=30

We move all terms to the left:

12n^2-26n-(30)=0

a = 12; b = -26; c = -30;
Δ = b2-4ac
Δ = -262-4·12·(-30)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-46}{2*12}=\frac{-20}{24}
=-5/6
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+46}{2*12}=\frac{72}{24}
=3
$