-7n2=-448

Solution for -7n2=-448 equation:

-7n^2=-448

We move all terms to the left:

-7n^2-(-448)=0

We add all the numbers together, and all the variables

-7n^2+448=0

a = -7; b = 0; c = +448;
Δ = b2-4ac
Δ = 02-4·(-7)·448
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112}{2*-7}=\frac{-112}{-14}
=+8
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112}{2*-7}=\frac{112}{-14}
=-8
$