X+6/5x=44

Solution for X+6/5x=44 equation:

X+6/5X=44

We move all terms to the left:

X+6/5X-(44)=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We multiply all the terms by the denominator


X*5X-44*5X+6=0

Wy multiply elements

5X^2-220X+6=0

a = 5; b = -220; c = +6;
Δ = b2-4ac
Δ = -2202-4·5·6
Δ = 48280
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:

$\sqrt{\Delta}=\sqrt{48280}=\sqrt{4*12070}=\sqrt{4}*\sqrt{12070}=2\sqrt{12070}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-220)-2\sqrt{12070}}{2*5}=\frac{220-2\sqrt{12070}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-220)+2\sqrt{12070}}{2*5}=\frac{220+2\sqrt{12070}}{10}
$