100x2=1600

Solution for 100x2=1600 equation:

100x^2=1600

We move all terms to the left:

100x^2-(1600)=0

a = 100; b = 0; c = -1600;
Δ = b2-4ac
Δ = 02-4·100·(-1600)
Δ = 640000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{640000}=800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-800}{2*100}=\frac{-800}{200}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+800}{2*100}=\frac{800}{200}
=4
$