X2+44x+84=0

Solution for X2+44x+84=0 equation:

X2+44X+84=0

We add all the numbers together, and all the variables

X^2+44X+84=0

a = 1; b = 44; c = +84;
Δ = b2-4ac
Δ = 442-4·1·84
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-40}{2*1}=\frac{-84}{2}
=-42
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+40}{2*1}=\frac{-4}{2}
=-2
$