10n2-11n-15=-8

Solution for 10n2-11n-15=-8 equation:

10n^2-11n-15=-8

We move all terms to the left:

10n^2-11n-15-(-8)=0

We add all the numbers together, and all the variables

10n^2-11n-7=0

a = 10; b = -11; c = -7;
Δ = b2-4ac
Δ = -112-4·10·(-7)
Δ = 401
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{-(-11)-\sqrt{401}}{2*10}=\frac{11-\sqrt{401}}{20}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{401}}{2*10}=\frac{11+\sqrt{401}}{20}
$