x-22x/100x=10

Solution for x-22x/100x=10 equation:

x-22x/100x=10

We move all terms to the left:

x-22x/100x-(10)=0


Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R


We multiply all the terms by the denominator


x*100x-22x-10*100x=0

We add all the numbers together, and all the variables

-22x+x*100x-10*100x=0

Wy multiply elements

100x^2-22x-1000x=0

We add all the numbers together, and all the variables

100x^2-1022x=0

a = 100; b = -1022; c = 0;
Δ = b2-4ac
Δ = -10222-4·100·0
Δ = 1044484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1044484}=1022$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1022)-1022}{2*100}=\frac{0}{200}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1022)+1022}{2*100}=\frac{2044}{200}
=10+11/50
$