-4b^2=-1444

Solution for -4b^2=-1444 equation:

-4b^2=-1444

We move all terms to the left:

-4b^2-(-1444)=0

We add all the numbers together, and all the variables

-4b^2+1444=0

a = -4; b = 0; c = +1444;
Δ = b2-4ac
Δ = 02-4·(-4)·1444
Δ = 23104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23104}=152$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-152}{2*-4}=\frac{-152}{-8}
=+19
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+152}{2*-4}=\frac{152}{-8}
=-19
$