0=16n^2-49

Solution for 0=16n^2-49 equation:

0=16n^2-49

We move all terms to the left:

0-(16n^2-49)=0

We add all the numbers together, and all the variables

-(16n^2-49)=0

We get rid of parentheses

-16n^2+49=0

a = -16; b = 0; c = +49;
Δ = b2-4ac
Δ = 02-4·(-16)·49
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56}{2*-16}=\frac{-56}{-32}
=1+3/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56}{2*-16}=\frac{56}{-32}
=-1+3/4
$