12n2-29=-2

Solution for 12n2-29=-2 equation:

12n^2-29=-2

We move all terms to the left:

12n^2-29-(-2)=0

We add all the numbers together, and all the variables

12n^2-27=0

a = 12; b = 0; c = -27;
Δ = b2-4ac
Δ = 02-4·12·(-27)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*12}=\frac{-36}{24}
=-1+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*12}=\frac{36}{24}
=1+1/2
$