-6n2+5n+4=5

Solution for -6n2+5n+4=5 equation:

-6n^2+5n+4=5

We move all terms to the left:

-6n^2+5n+4-(5)=0

We add all the numbers together, and all the variables

-6n^2+5n-1=0

a = -6; b = 5; c = -1;
Δ = b2-4ac
Δ = 52-4·(-6)·(-1)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-1}{2*-6}=\frac{-6}{-12}
=1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+1}{2*-6}=\frac{-4}{-12}
=1/3
$