(15/100)x+x=105

Solution for (15/100)x+x=105 equation:

(15/100)x+x=105

We move all terms to the left:

(15/100)x+x-(105)=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

(+15/100)x+x-105=0

We add all the numbers together, and all the variables

x+(+15/100)x-105=0

We multiply parentheses

15x^2+x-105=0

a = 15; b = 1; c = -105;
Δ = b2-4ac
Δ = 12-4·15·(-105)
Δ = 6301
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{6301}}{2*15}=\frac{-1-\sqrt{6301}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{6301}}{2*15}=\frac{-1+\sqrt{6301}}{30}
$