x+(12/100)x=17.92

Solution for x+(12/100)x=17.92 equation:

x+(12/100)x=17.92

We move all terms to the left:

x+(12/100)x-(17.92)=0


Domain of the equation: 100)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x+(+12/100)x-(17.92)=0

We add all the numbers together, and all the variables

x+(+12/100)x-17.92=0

We multiply parentheses

12x^2+x-17.92=0

a = 12; b = 1; c = -17.92;
Δ = b2-4ac
Δ = 12-4·12·(-17.92)
Δ = 861.16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{861.16}}{2*12}=\frac{-1-\sqrt{861.16}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{861.16}}{2*12}=\frac{-1+\sqrt{861.16}}{24}
$