-1=-400m^2

Solution for -1=-400m^2 equation:

-1=-400m^2

We move all terms to the left:

-1-(-400m^2)=0

We get rid of parentheses

400m^2-1=0

a = 400; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·400·(-1)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*400}=\frac{-40}{800}
=-1/20
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*400}=\frac{40}{800}
=1/20
$