X+44/100x=180

Solution for X+44/100x=180 equation:

X+44/100X=180

We move all terms to the left:

X+44/100X-(180)=0


Domain of the equation: 100X!=0

X!=0/100

X!=0

X∈R


We multiply all the terms by the denominator


X*100X-180*100X+44=0

Wy multiply elements

100X^2-18000X+44=0

a = 100; b = -18000; c = +44;
Δ = b2-4ac
Δ = -180002-4·100·44
Δ = 323982400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{323982400}=\sqrt{1600*202489}=\sqrt{1600}*\sqrt{202489}=40\sqrt{202489}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18000)-40\sqrt{202489}}{2*100}=\frac{18000-40\sqrt{202489}}{200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18000)+40\sqrt{202489}}{2*100}=\frac{18000+40\sqrt{202489}}{200}
$