4n^2-10n+2=-2

Solution for 4n^2-10n+2=-2 equation:

4n^2-10n+2=-2

We move all terms to the left:

4n^2-10n+2-(-2)=0

We add all the numbers together, and all the variables

4n^2-10n+4=0

a = 4; b = -10; c = +4;
Δ = b2-4ac
Δ = -102-4·4·4
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-6}{2*4}=\frac{4}{8}
=1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+6}{2*4}=\frac{16}{8}
=2
$