1600q^2-1600=0

Solution for 1600q^2-1600=0 equation:

1600q^2-1600=0

a = 1600; b = 0; c = -1600;
Δ = b2-4ac
Δ = 02-4·1600·(-1600)
Δ = 10240000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10240000}=3200$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3200}{2*1600}=\frac{-3200}{3200}
=-1
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3200}{2*1600}=\frac{3200}{3200}
=1
$