x+(5/6)x=22

Solution for x+(5/6)x=22 equation:

x+(5/6)x=22

We move all terms to the left:

x+(5/6)x-(22)=0


Domain of the equation: 6)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x+(+5/6)x-22=0

We multiply parentheses

5x^2+x-22=0

a = 5; b = 1; c = -22;
Δ = b2-4ac
Δ = 12-4·5·(-22)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-21}{2*5}=\frac{-22}{10}
=-2+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+21}{2*5}=\frac{20}{10}
=2
$