x+(15/100)*x=23

Solution for x+(15/100)*x=23 equation:

x+(15/100)*x=23

We move all terms to the left:

x+(15/100)*x-(23)=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+(+15/100)*x-23=0

We multiply parentheses

15x^2+x-23=0

a = 15; b = 1; c = -23;
Δ = b2-4ac
Δ = 12-4·15·(-23)
Δ = 1381
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{1381}}{2*15}=\frac{-1-\sqrt{1381}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1381}}{2*15}=\frac{-1+\sqrt{1381}}{30}
$