379=X+12/100x

Solution for 379=X+12/100x equation:

379=X+12/100X

We move all terms to the left:

379-(X+12/100X)=0


Domain of the equation: 100X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

-(+X+12/100X)+379=0

We get rid of parentheses

-X-12/100X+379=0

We multiply all the terms by the denominator


-X*100X+379*100X-12=0

Wy multiply elements

-100X^2+37900X-12=0

a = -100; b = 37900; c = -12;
Δ = b2-4ac
Δ = 379002-4·(-100)·(-12)
Δ = 1436405200
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:

$\sqrt{\Delta}=\sqrt{1436405200}=\sqrt{400*3591013}=\sqrt{400}*\sqrt{3591013}=20\sqrt{3591013}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37900)-20\sqrt{3591013}}{2*-100}=\frac{-37900-20\sqrt{3591013}}{-200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37900)+20\sqrt{3591013}}{2*-100}=\frac{-37900+20\sqrt{3591013}}{-200}
$