7n^2-258=-6

Solution for 7n^2-258=-6 equation:

7n^2-258=-6

We move all terms to the left:

7n^2-258-(-6)=0

We add all the numbers together, and all the variables

7n^2-252=0

a = 7; b = 0; c = -252;
Δ = b2-4ac
Δ = 02-4·7·(-252)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*7}=\frac{-84}{14}
=-6
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*7}=\frac{84}{14}
=6
$